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3078068544 = 263216133313
BaseRepresentation
bin1011011101110111…
…1001100101000000
321221111221002020200
42313131321211000
522300441143134
61225233405200
7136164102525
oct26735714500
97844832220
103078068544
11133a542501
1271aa09800
133a0919745
14212b2914c
15130365499
hexb7779940

3078068544 has 84 divisors (see below), whose sum is σ = 8830862196. Its totient is φ = 1025077248.

The previous prime is 3078068537. The next prime is 3078068551. The reversal of 3078068544 is 4458608703.

3078068544 is a `hidden beast` number, since 30 + 78 + 0 + 6 + 8 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (3078068537) and next prime (3078068551).

It can be written as a sum of positive squares in 2 ways, for example, as 2449062144 + 629006400 = 49488^2 + 25080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3078068544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927432 + ... + 930744.

Almost surely, 23078068544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3078068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415431098).

3078068544 is an abundant number, since it is smaller than the sum of its proper divisors (5752793652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3078068544 is a wasteful number, since it uses less digits than its factorization.

3078068544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3078068544 is about 55480.3437624534. The cubic root of 3078068544 is about 1454.6530734843.

The spelling of 3078068544 in words is "three billion, seventy-eight million, sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1613 3226 3313 4839 6452 6626 9678 9939 12904 13252 14517 19356 19878 25808 26504 29034 29817 38712 39756 51616 53008 58068 59634 77424 79512 103232 106016 116136 119268 154848 159024 212032 232272 238536 309696 318048 464544 477072 636096 929088 954144 1908288 5343869 10687738 16031607 21375476 32063214 42750952 48094821 64126428 85501904 96189642 128252856 171003808 192379284 256505712 342007616 384758568 513011424 769517136 1026022848 1539034272 3078068544