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30864346003998 = 23313101435309949
BaseRepresentation
bin1110000010010001010100…
…11000010011101000011110
311001021121021100012011221000
413001020222120103220132
513021140140034111443
6145350515041451130
76333606160244433
oct701105230235036
9131247240164830
1030864346003998
11991a54a761a51
123565873040aa6
13142b6593518b0
14789bb1465b8a
15387cbc13d8d3
hex1c122a613a1e

30864346003998 has 64 divisors (see below), whose sum is σ = 74594713032000. Its totient is φ = 9402694876800.

The previous prime is 30864346003961. The next prime is 30864346004027. The reversal of 30864346003998 is 89930064346803.

30864346003998 is a `hidden beast` number, since 3 + 0 + 86 + 4 + 3 + 460 + 0 + 3 + 9 + 98 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217584073 + ... + 217725876.

It is an arithmetic number, because the mean of its divisors is an integer number (1165542391125).

Almost surely, 230864346003998 is an apocalyptic number.

30864346003998 is an abundant number, since it is smaller than the sum of its proper divisors (43730367028002).

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

30864346003998 is a wasteful number, since it uses less digits than its factorization.

30864346003998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435310074 (or 435310068 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 30864346003998 in words is "thirty trillion, eight hundred sixty-four billion, three hundred forty-six million, three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 606 702 909 1313 1818 2626 2727 3939 5454 7878 11817 23634 35451 70902 435309949 870619898 1305929847 2611859694 3917789541 5659029337 7835579082 11318058674 11753368623 16977088011 23506737246 33954176022 43966304849 50931264033 87932609698 101862528066 131898914547 152793792099 263797829094 305587584198 395696743641 571561963037 791393487282 1143123926074 1187090230923 1714685889111 2374180461846 3429371778222 5144057667333 10288115334666 15432173001999 30864346003998