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25381600128 = 27342448071
BaseRepresentation
bin10111101000110111…
…000111101110000000
32102111212221212210000
4113220313013232000
5403440142201003
615354331440000
71555660020123
oct275067075600
972455855700
1025381600128
11a845284935
124b042b6000
132516604b01
14132ad1c3ba
159d844e1a3
hex5e8dc7b80

25381600128 has 80 divisors (see below), whose sum is σ = 75535261560. Its totient is φ = 8460529920.

The previous prime is 25381600093. The next prime is 25381600133. The reversal of 25381600128 is 82100618352.

It is a happy number.

25381600128 is a `hidden beast` number, since 2 + 5 + 38 + 1 + 600 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25381600092 and 25381600101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1213668 + ... + 1234403.

Almost surely, 225381600128 is an apocalyptic number.

It is an amenable number.

25381600128 is an abundant number, since it is smaller than the sum of its proper divisors (50153661432).

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

25381600128 is an equidigital number, since it uses as much as digits as its factorization.

25381600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448097 (or 2448076 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 25381600128 in words is "twenty-five billion, three hundred eighty-one million, six hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 2448071 4896142 7344213 9792284 14688426 19584568 22032639 29376852 39169136 44065278 58753704 66097917 78338272 88130556 117507408 132195834 156676544 176261112 198293751 235014816 264391668 313353088 352522224 396587502 470029632 528783336 705044448 793175004 940059264 1057566672 1410088896 1586350008 2115133344 2820177792 3172700016 4230266688 6345400032 8460533376 12690800064 25381600128