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30605101992 = 23331733792161
BaseRepresentation
bin11100100000001101…
…001100101110101000
32220222220220021021000
4130200031030232220
51000134401230432
622020525315000
72132265034413
oct344015145650
986886807230
1030605101992
1111a85867123
125b21705a60
132b6985900a
1416a495cb7a
15be1d0357c
hex72034cba8

30605101992 has 128 divisors (see below), whose sum is σ = 85770864000. Its totient is φ = 10111288320.

The previous prime is 30605101949. The next prime is 30605101993. The reversal of 30605101992 is 29910150603.

30605101992 is a `hidden beast` number, since 30 + 605 + 1 + 0 + 19 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30605101993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14161392 + ... + 14163552.

It is an arithmetic number, because the mean of its divisors is an integer number (670084875).

Almost surely, 230605101992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30605101992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42885432000).

30605101992 is an abundant number, since it is smaller than the sum of its proper divisors (55165762008).

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

30605101992 is a wasteful number, since it uses less digits than its factorization.

30605101992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 30605101992 in words is "thirty billion, six hundred five million, one hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 379 519 692 758 1038 1137 1384 1516 1557 2076 2161 2274 3032 3114 3411 4152 4322 4548 4671 6228 6483 6822 8644 9096 9342 10233 12456 12966 13644 17288 18684 19449 20466 25932 27288 37368 38898 40932 51864 58347 65567 77796 81864 116694 131134 155592 196701 233388 262268 373853 393402 466776 524536 590103 747706 786804 819019 1121559 1180206 1495412 1573608 1638038 1770309 2243118 2360412 2457057 2990824 3276076 3364677 3540618 4486236 4720824 4914114 6552152 6729354 7081236 7371171 8972472 9828228 10094031 13458708 14162472 14742342 19656456 20188062 22113513 26917416 29484684 40376124 44227026 58969368 80752248 88454052 141690287 176908104 283380574 425070861 566761148 850141722 1133522296 1275212583 1700283444 2550425166 3400566888 3825637749 5100850332 7651275498 10201700664 15302550996 30605101992