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25505040432 = 24317891492357
BaseRepresentation
bin10111110000001110…
…000000100000110000
32102211111020022001010
4113300032000200300
5404213242243212
615414501310520
71562016160314
oct276016004060
972744208033
1025505040432
11a8a8a26413
124b39705440
132536064901
14133d491b44
159e41d403c
hex5f0380830

25505040432 has 160 divisors (see below), whose sum is σ = 71051256000. Its totient is φ = 7855243264.

The previous prime is 25505040403. The next prime is 25505040433. The reversal of 25505040432 is 23404050552.

It is a self number, because there is not a number n which added to its sum of digits gives 25505040432.

It is not an unprimeable number, because it can be changed into a prime (25505040433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10819798 + ... + 10822154.

It is an arithmetic number, because the mean of its divisors is an integer number (444070350).

Almost surely, 225505040432 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 25505040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35525628000).

25505040432 is an abundant number, since it is smaller than the sum of its proper divisors (45546215568).

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

25505040432 is a wasteful number, since it uses less digits than its factorization.

25505040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 25505040432 its reverse (23404050552), we get a palindrome (48909090984).

The spelling of 25505040432 in words is "twenty-five billion, five hundred five million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 102 136 149 178 204 267 272 298 356 408 447 534 596 712 816 894 1068 1192 1424 1513 1788 2136 2357 2384 2533 3026 3576 4272 4539 4714 5066 6052 7071 7152 7599 9078 9428 10132 12104 13261 14142 15198 18156 18856 20264 24208 26522 28284 30396 36312 37712 39783 40069 40528 53044 56568 60792 72624 79566 80138 106088 113136 120207 121584 159132 160276 209773 212176 225437 240414 318264 320552 351193 419546 450874 480828 629319 636528 641104 676311 702386 839092 901748 961656 1053579 1258638 1352622 1404772 1678184 1803496 1923312 2107158 2517276 2705244 2809544 3356368 3566141 3606992 4214316 5034552 5410488 5619088 5970281 7132282 8428632 10069104 10698423 10820976 11940562 14264564 16857264 17910843 21396846 23881124 28529128 31256177 35821686 42793692 47762248 57058256 62512354 71643372 85587384 93768531 95524496 125024708 143286744 171174768 187537062 250049416 286573488 375074124 500098832 531355009 750148248 1062710018 1500296496 1594065027 2125420036 3188130054 4250840072 6376260108 8501680144 12752520216 25505040432