Search a number
-
+
30525617376 = 2532167634681
BaseRepresentation
bin11100011011011101…
…111111010011100000
32220210101100000212100
4130123131333103200
51000004024224001
622005005530400
72130311316012
oct343335772340
986711300770
1030525617376
1111a44a08161
125abab73a00
132b562493b7
14169818c1b2
15bd9d52586
hex71b77f4e0

30525617376 has 72 divisors (see below), whose sum is σ = 87327165744. Its totient is φ = 10114260480.

The previous prime is 30525617357. The next prime is 30525617389. The reversal of 30525617376 is 67371652503.

30525617376 is a `hidden beast` number, since 3 + 0 + 5 + 25 + 617 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269245 + ... + 365436.

It is an arithmetic number, because the mean of its divisors is an integer number (1212877302).

Almost surely, 230525617376 is an apocalyptic number.

30525617376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30525617376 is an abundant number, since it is smaller than the sum of its proper divisors (56801548368).

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

30525617376 is a wasteful number, since it uses less digits than its factorization.

30525617376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634864 (or 634853 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 30525617376 in words is "thirty billion, five hundred twenty-five million, six hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 24048 48096 634681 1269362 1904043 2538724 3808086 5077448 5712129 7616172 10154896 11424258 15232344 20309792 22848516 30464688 45697032 60929376 91394064 105991727 182788128 211983454 317975181 423966908 635950362 847933816 953925543 1271900724 1695867632 1907851086 2543801448 3391735264 3815702172 5087602896 7631404344 10175205792 15262808688 30525617376