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25321216896 = 27344159567
BaseRepresentation
bin10111100101010000…
…110001101110000000
32102100200100002120000
4113211100301232000
5403324212420041
615344333320000
71554324535533
oct274520615600
972320302500
1025321216896
11a814192038
124aa8036000
132506c525a1
141322cc0a1a
159d2ec2bb6
hex5e5431b80

25321216896 has 160 divisors (see below), whose sum is σ = 77194766880. Its totient is φ = 8234403840.

The previous prime is 25321216891. The next prime is 25321216901. The reversal of 25321216896 is 69861212352.

25321216896 is a `hidden beast` number, since 2 + 532 + 1 + 21 + 6 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (25321216891) and next prime (25321216901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25321216891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 395305 + ... + 454871.

It is an arithmetic number, because the mean of its divisors is an integer number (482467293).

Almost surely, 225321216896 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 25321216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38597383440).

25321216896 is an abundant number, since it is smaller than the sum of its proper divisors (51873549984).

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

25321216896 is an equidigital number, since it uses as much as digits as its factorization.

25321216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59634 (or 59613 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 25321216896 in words is "twenty-five billion, three hundred twenty-one million, two hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 13284 15744 17712 23616 26568 35424 47232 53136 59567 70848 106272 119134 141696 178701 212544 238268 357402 425088 476536 536103 714804 953072 1072206 1429608 1608309 1906144 2144412 2442247 2859216 3216618 3812288 4288824 4824927 4884494 5718432 6433236 7326741 7624576 8577648 9649854 9768988 11436864 12866472 14653482 17155296 19299708 19537976 21980223 22873728 25732944 29306964 34310592 38599416 39075952 43960446 51465888 58613928 65940669 68621184 77198832 78151904 87920892 102931776 117227856 131881338 154397664 156303808 175841784 197822007 205863552 234455712 263762676 308795328 312607616 351683568 395644014 468911424 527525352 617590656 703367136 791288028 937822848 1055050704 1406734272 1582576056 2110101408 2813468544 3165152112 4220202816 6330304224 8440405632 12660608448 25321216896