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25320496128 = 210323215581
BaseRepresentation
bin10111100101001110…
…000001110000000000
32102100121222110211220
4113211032001300000
5403324021334003
615344310035040
71554315444264
oct274516016000
972317873756
1025320496128
11a81383a564
124aa7948a80
132506a5c4b5
141322b740a4
159d2dce353
hex5e5381c00

25320496128 has 132 divisors (see below), whose sum is σ = 70554735048. Its totient is φ = 8072683520.

The previous prime is 25320496127. The next prime is 25320496139. The reversal of 25320496128 is 82169402352.

It is a super-2 number, since 2×253204961282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25320496128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25320496127) 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 11 ways as a sum of consecutive naturals, for example, 1617298 + ... + 1632878.

Almost surely, 225320496128 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 25320496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35277367524).

25320496128 is an abundant number, since it is smaller than the sum of its proper divisors (45234238920).

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

25320496128 is a wasteful number, since it uses less digits than its factorization.

25320496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15650 (or 15609 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 25320496128 in words is "twenty-five billion, three hundred twenty million, four hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1024 1058 1104 1472 1536 1587 2116 2208 2944 3072 3174 4232 4416 5888 6348 8464 8832 11776 12696 15581 16928 17664 23552 25392 31162 33856 35328 46743 50784 62324 67712 70656 93486 101568 124648 135424 186972 203136 249296 270848 358363 373944 406272 498592 541696 716726 747888 812544 997184 1075089 1433452 1495776 1625088 1994368 2150178 2866904 2991552 3988736 4300356 5733808 5983104 7977472 8242349 8600712 11467616 11966208 15954944 16484698 17201424 22935232 23932416 24727047 32969396 34402848 45870464 47864832 49454094 65938792 68805696 91740928 98908188 131877584 137611392 183481856 197816376 263755168 275222784 366963712 395632752 527510336 550445568 791265504 1055020672 1100891136 1582531008 2110041344 3165062016 4220082688 6330124032 8440165376 12660248064 25320496128