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5001759904 = 25416162497
BaseRepresentation
bin1001010100010000…
…01100110010100000
3110220120200201200211
410222020030302200
540220422304104
62144153023504
7234643154251
oct45210146240
913816621624
105001759904
1121373aa279
12b770b4b94
1361932695b
143563dcb28
151e41a2e04
hex12a20cca0

5001759904 has 48 divisors (see below), whose sum is σ = 10252921896. Its totient is φ = 2399846400.

The previous prime is 5001759877. The next prime is 5001759979. The reversal of 5001759904 is 4099571005.

It can be written as a sum of positive squares in 4 ways, for example, as 1263660304 + 3738099600 = 35548^2 + 61140^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48784 + ... + 111280.

Almost surely, 25001759904 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 5001759904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126460948).

5001759904 is an abundant number, since it is smaller than the sum of its proper divisors (5251161992).

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

5001759904 is a wasteful number, since it uses less digits than its factorization.

5001759904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62609 (or 62601 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 5001759904 is about 70723.1214243263. The cubic root of 5001759904 is about 1710.1765493763.

The spelling of 5001759904 in words is "five billion, one million, seven hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 41 61 82 122 164 244 328 488 656 976 1312 1952 2501 5002 10004 20008 40016 62497 80032 124994 249988 499976 999952 1999904 2562377 3812317 5124754 7624634 10249508 15249268 20499016 30498536 40998032 60997072 81996064 121994144 156304997 312609994 625219988 1250439976 2500879952 5001759904