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2551011552 = 253256315733
BaseRepresentation
bin1001100000001101…
…0101100011100000
320120210011210222100
42120003111203200
520211024332202
61101045010400
7120134145315
oct23003254340
96523153870
102551011552
111099a85811
125b23b3a00
133186800bb
141a2b2cd0c
15ede5541c
hex980d58e0

2551011552 has 72 divisors (see below), whose sum is σ = 7267786344. Its totient is φ = 848772864.

The previous prime is 2551011523. The next prime is 2551011553. The reversal of 2551011552 is 2551101552.

2551011552 is a `hidden beast` number, since 2 + 5 + 5 + 101 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551011553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154278 + ... + 170010.

It is an arithmetic number, because the mean of its divisors is an integer number (100941477).

Almost surely, 22551011552 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 2551011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633893172).

2551011552 is an abundant number, since it is smaller than the sum of its proper divisors (4716774792).

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

2551011552 is a wasteful number, since it uses less digits than its factorization.

2551011552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312 (or 16301 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 2551011552 is about 50507.5395559910. The cubic root of 2551011552 is about 1366.3778350826.

Subtracting 2551011552 from its reverse (2551101552), we obtain a square (90000 = 3002).

The spelling of 2551011552 in words is "two billion, five hundred fifty-one million, eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 563 1126 1689 2252 3378 4504 5067 6756 9008 10134 13512 15733 18016 20268 27024 31466 40536 47199 54048 62932 81072 94398 125864 141597 162144 188796 251728 283194 377592 503456 566388 755184 1132776 1510368 2265552 4531104 8857679 17715358 26573037 35430716 53146074 70861432 79719111 106292148 141722864 159438222 212584296 283445728 318876444 425168592 637752888 850337184 1275505776 2551011552