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25368020352 = 2732169313007
BaseRepresentation
bin10111101000000011…
…010100010110000000
32102110221101221211100
4113220003110112000
5403423203122402
615353124414400
71555433421003
oct275003242600
972427357740
1025368020352
11a83864a184
124abb847400
13251385ba3c
1413291c553a
159d716a71c
hex5e80d4580

25368020352 has 96 divisors (see below), whose sum is σ = 73047854880. Its totient is φ = 8450362368.

The previous prime is 25368020341. The next prime is 25368020383. The reversal of 25368020352 is 25302086352.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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, 1943833 + ... + 1956839.

It is an arithmetic number, because the mean of its divisors is an integer number (760915155).

Almost surely, 225368020352 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 25368020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36523927440).

25368020352 is an abundant number, since it is smaller than the sum of its proper divisors (47679834528).

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

25368020352 is a wasteful number, since it uses less digits than its factorization.

25368020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 25368020352 in words is "twenty-five billion, three hundred sixty-eight million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1693 3386 5079 6772 10158 13007 13544 15237 20316 26014 27088 30474 39021 40632 52028 54176 60948 78042 81264 104056 108352 117063 121896 156084 162528 208112 216704 234126 243792 312168 325056 416224 468252 487584 624336 650112 832448 936504 975168 1248672 1664896 1873008 1950336 2497344 3746016 4994688 7492032 14984064 22020851 44041702 66062553 88083404 132125106 176166808 198187659 264250212 352333616 396375318 528500424 704667232 792750636 1057000848 1409334464 1585501272 2114001696 2818668928 3171002544 4228003392 6342005088 8456006784 12684010176 25368020352