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25300399905 = 32511199727733
BaseRepresentation
bin10111100100000001…
…010111011100100001
32102022020011111000100
4113210001113130201
5403303400244110
615342311213013
71553652564564
oct274401273441
972266144010
1025300399905
11a803463a10
124aa1077169
132502844341
1413202224db
159d125ebc0
hex5e4057721

25300399905 has 96 divisors (see below), whose sum is σ = 50879687040. Its totient is φ = 11501015040.

The previous prime is 25300399877. The next prime is 25300399919. The reversal of 25300399905 is 50999300352.

25300399905 is a `hidden beast` number, since 253 + 0 + 0 + 399 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 25300399905 - 227 = 25166182177 is a prime.

It is a super-2 number, since 2×253003999052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898419 + ... + 926151.

It is an arithmetic number, because the mean of its divisors is an integer number (529996740).

Almost surely, 225300399905 is an apocalyptic number.

It is an amenable number.

25300399905 is an abundant number, since it is smaller than the sum of its proper divisors (25579287135).

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

25300399905 is a wasteful number, since it uses less digits than its factorization.

25300399905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27871 (or 27868 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 25300399905 in words is "twenty-five billion, three hundred million, three hundred ninety-nine thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 97 99 165 171 209 285 291 485 495 627 855 873 1045 1067 1455 1843 1881 3135 3201 4365 5335 5529 9215 9405 9603 16005 16587 20273 27645 27733 48015 60819 82935 83199 101365 138665 182457 249597 304095 305063 415995 526927 912285 915189 1247985 1525315 1580781 2634635 2690101 2745567 4575945 4742343 5796197 7903905 8070303 13450505 13727835 17388591 23711715 24210909 28980985 29591111 40351515 51111919 52165773 86942955 88773333 121054545 147955555 153335757 255559595 260828865 266319999 443866665 460007271 562231109 766678785 1331599995 1686693327 2300036355 2811155545 5060079981 8433466635 25300399905