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30972336048 = 24327310927031
BaseRepresentation
bin11100110110000110…
…000101011110110000
32221221111220200200100
4130312012011132300
51001412404223143
622121204352400
72144344340553
oct346606053660
987844820610
1030972336048
1112154092545
1260046a5700
132bc7967684
1416db63469a
15c141936d3
hex7361857b0

30972336048 has 120 divisors (see below), whose sum is σ = 88676313440. Its totient is φ = 10088893440.

The previous prime is 30972336013. The next prime is 30972336077. The reversal of 30972336048 is 84063327903.

30972336048 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 2 + 33 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30972335994 and 30972336012.

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 23 ways as a sum of consecutive naturals, for example, 1132293 + ... + 1159323.

Almost surely, 230972336048 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 30972336048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44338156720).

30972336048 is an abundant number, since it is smaller than the sum of its proper divisors (57703977392).

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

30972336048 is a wasteful number, since it uses less digits than its factorization.

30972336048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27227 (or 27218 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30972336048 in words is "thirty billion, nine hundred seventy-two million, three hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 109 144 146 218 219 292 327 436 438 584 654 657 872 876 981 1168 1308 1314 1744 1752 1962 2616 2628 3504 3924 5232 5256 7848 7957 10512 15696 15914 23871 27031 31828 47742 54062 63656 71613 81093 95484 108124 127312 143226 162186 190968 216248 243279 286452 324372 381936 432496 486558 572904 648744 973116 1145808 1297488 1946232 1973263 2946379 3892464 3946526 5892758 5919789 7893052 8839137 11785516 11839578 15786104 17678274 17759367 23571032 23679156 26517411 31572208 35356548 35518734 47142064 47358312 53034822 70713096 71037468 94716624 106069644 141426192 142074936 212139288 215085667 284149872 424278576 430171334 645257001 860342668 1290514002 1720685336 1935771003 2581028004 3441370672 3871542006 5162056008 7743084012 10324112016 15486168024 30972336048