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5000705700 = 22352139119921
BaseRepresentation
bin1001010100001000…
…01011011010100100
3110220111201011121020
410222010023122210
540220140040300
62144114251140
7234631203624
oct45204133244
913814634536
105000705700
11213684a231
12b76886ab0
13619047b73
14356206884
151e40458a0
hex12a10b6a4

5000705700 has 72 divisors (see below), whose sum is σ = 14572921440. Its totient is φ = 1323916800.

The previous prime is 5000705693. The next prime is 5000705707. The reversal of 5000705700 is 75070005.

It is an interprime number because it is at equal distance from previous prime (5000705693) and next prime (5000705707).

It is not an unprimeable number, because it can be changed into a prime (5000705707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18261 + ... + 101660.

Almost surely, 25000705700 is an apocalyptic number.

5000705700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000705700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286460720).

5000705700 is an abundant number, since it is smaller than the sum of its proper divisors (9572215740).

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

5000705700 is a wasteful number, since it uses less digits than its factorization.

5000705700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120077 (or 120070 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 5000705700 is about 70715.6679951480. The cubic root of 5000705700 is about 1710.0563915605.

Adding to 5000705700 its reverse (75070005), we get a palindrome (5075775705).

The spelling of 5000705700 in words is "five billion, seven hundred five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 119921 239842 359763 479684 599605 719526 1199210 1439052 1798815 2398420 2998025 3597630 5996050 7195260 8994075 11992100 16669019 17988150 33338038 35976300 50007057 66676076 83345095 100014114 166690190 200028228 250035285 333380380 416725475 500070570 833450950 1000141140 1250176425 1666901900 2500352850 5000705700