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5625797464 = 237297197503
BaseRepresentation
bin1010011110101001…
…01101101101011000
3112112001221010022001
411033110231231120
543010201004324
62330124210344
7256261326610
oct51724555530
915461833261
105625797464
1124276859a1
1211100999b4
136b86ba651
143b5241a40
1522dd6ce44
hex14f52db58

5625797464 has 128 divisors (see below), whose sum is σ = 12802406400. Its totient is φ = 2266951680.

The previous prime is 5625797389. The next prime is 5625797473. The reversal of 5625797464 is 4647975265.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11184237 + ... + 11184739.

It is an arithmetic number, because the mean of its divisors is an integer number (100018800).

Almost surely, 25625797464 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 5625797464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401203200).

5625797464 is an abundant number, since it is smaller than the sum of its proper divisors (7176608936).

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

5625797464 is a wasteful number, since it uses less digits than its factorization.

5625797464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The square root of 5625797464 is about 75005.3162382507. The cubic root of 5625797464 is about 1778.5306925511.

The spelling of 5625797464 in words is "five billion, six hundred twenty-five million, seven hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 71 97 116 142 194 203 232 284 388 406 497 503 568 679 776 812 994 1006 1358 1624 1988 2012 2059 2716 2813 3521 3976 4024 4118 5432 5626 6887 7042 8236 11252 13774 14084 14413 14587 16472 19691 22504 27548 28168 28826 29174 35713 39382 48209 48791 55096 57652 58348 71426 78764 96418 97582 102109 115304 116696 142852 157528 192836 195164 199723 204218 249991 285704 341537 385672 390328 399446 408436 499982 683074 798892 816872 999964 1035677 1366148 1398061 1414939 1597784 1999928 2071354 2732296 2796122 2829878 3464161 4142708 5592244 5659756 6928322 7249739 8285416 9904573 11184488 11319512 13856644 14499478 19809146 24249127 27713288 28998956 39618292 48498254 57997912 79236584 96996508 100460669 193993016 200921338 401842676 703224683 803685352 1406449366 2812898732 5625797464