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30590191872 = 283213276993
BaseRepresentation
bin11100011111010100…
…010100100100000000
32220221212211202102100
4130133110110210000
51000122042114442
622015233550400
72132024224602
oct343724244400
986855752370
1030590191872
1111a78402a09
125b18715400
132b66738566
1416a299b172
15be085a84c
hex71f514900

30590191872 has 54 divisors (see below), whose sum is σ = 88199071142. Its totient is φ = 10196729856.

The previous prime is 30590191871. The next prime is 30590191903. The reversal of 30590191872 is 27819109503.

30590191872 is a `hidden beast` number, since 30 + 590 + 19 + 18 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17844685056 + 12745506816 = 133584^2 + 112896^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30590191871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6636193 + ... + 6640800.

Almost surely, 230590191872 is an apocalyptic number.

30590191872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30590191872 is an abundant number, since it is smaller than the sum of its proper divisors (57608879270).

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

30590191872 is a wasteful number, since it uses less digits than its factorization.

30590191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277015 (or 13276998 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 30590191872 in words is "thirty billion, five hundred ninety million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 13276993 26553986 39830979 53107972 79661958 106215944 119492937 159323916 212431888 238985874 318647832 424863776 477971748 637295664 849727552 955943496 1274591328 1699455104 1911886992 2549182656 3398910208 3823773984 5098365312 7647547968 10196730624 15295095936 30590191872