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47334002472 = 233219179193301
BaseRepresentation
bin101100000101010100…
…111000111100101000
311112011210021110112200
4230011110320330220
51233420001034342
633424523540200
73263660245131
oct540524707450
9145153243480
1047334002472
111908a8a0709
12921008a660
13460462ccb3
14241062cc88
1513707c994c
hexb05538f28

47334002472 has 96 divisors (see below), whose sum is σ = 135698004000. Its totient is φ = 14863996800.

The previous prime is 47334002437. The next prime is 47334002497. The reversal of 47334002472 is 27420043374.

47334002472 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 400 + 247 + 2 = 666.

It is a super-2 number, since 2×473340024722 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148222 + ... + 341522.

It is an arithmetic number, because the mean of its divisors is an integer number (1413520875).

Almost surely, 247334002472 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 47334002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67849002000).

47334002472 is an abundant number, since it is smaller than the sum of its proper divisors (88364001528).

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

47334002472 is a wasteful number, since it uses less digits than its factorization.

47334002472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193511 (or 193504 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 47334002472 in words is "forty-seven billion, three hundred thirty-four million, two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 179 228 342 358 456 537 684 716 1074 1368 1432 1611 2148 3222 3401 4296 6444 6802 10203 12888 13604 20406 27208 30609 40812 61218 81624 122436 193301 244872 386602 579903 773204 1159806 1546408 1739709 2319612 3479418 3672719 4639224 6958836 7345438 11018157 13917672 14690876 22036314 29381752 33054471 34600879 44072628 66108942 69201758 88145256 103802637 132217884 138403516 207605274 264435768 276807032 311407911 415210548 622815822 657416701 830421096 1245631644 1314833402 1972250103 2491263288 2629666804 3944500206 5259333608 5916750309 7889000412 11833500618 15778000824 23667001236 47334002472