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30130563456 = 273273736429
BaseRepresentation
bin11100000011111010…
…111110100110000000
32212202211222012202200
4130003322332212000
5443201411012311
621501454313200
72114443364220
oct340372764600
985684865680
1030130563456
1111861a10314
125a0a7b8800
132ac244a196
14165b914080
15bb5319556
hex703ebe980

30130563456 has 96 divisors (see below), whose sum is σ = 99090123600. Its totient is φ = 8608730112.

The previous prime is 30130563439. The next prime is 30130563509. The reversal of 30130563456 is 65436503103.

30130563456 is a `hidden beast` number, since 3 + 0 + 1 + 305 + 6 + 345 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 30130563456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1860151 + ... + 1876278.

Almost surely, 230130563456 is an apocalyptic number.

30130563456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30130563456 is an abundant number, since it is smaller than the sum of its proper divisors (68959560144).

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

30130563456 is a wasteful number, since it uses less digits than its factorization.

30130563456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736456 (or 3736441 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 30130563456 in words is "thirty billion, one hundred thirty million, five hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 3736429 7472858 11209287 14945716 22418574 26155003 29891432 33627861 44837148 52310006 59782864 67255722 78465009 89674296 104620012 119565728 134511444 156930018 179348592 209240024 235395027 239131456 269022888 313860036 358697184 418480048 470790054 478262912 538045776 627720072 717394368 836960096 941580108 1076091552 1255440144 1434788736 1673920192 1883160216 2152183104 2510880288 3347840384 3766320432 4304366208 5021760576 7532640864 10043521152 15065281728 30130563456