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46935923136 = 2631926714817
BaseRepresentation
bin101011101101100110…
…010101100111000000
311111011001012221100120
4223231212111213000
51232111044020021
633321223420240
73251054523024
oct535546254700
9144131187316
1046935923136
11189a6117823
12911a8b4680
1345700119ab
1423b3808384
15134a8952c6
hexaed9959c0

46935923136 has 112 divisors (see below), whose sum is σ = 130796751360. Its totient is φ = 14813245440.

The previous prime is 46935923113. The next prime is 46935923141. The reversal of 46935923136 is 63132953964.

46935923136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9741400 + ... + 9746216.

Almost surely, 246935923136 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 46935923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65398375680).

46935923136 is an abundant number, since it is smaller than the sum of its proper divisors (83860828224).

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

46935923136 is a wasteful number, since it uses less digits than its factorization.

46935923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522 (or 7512 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 51.

The spelling of 46935923136 in words is "forty-six billion, nine hundred thirty-five million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2671 3648 4817 5342 8013 9634 10684 14451 16026 19268 21368 28902 32052 38536 42736 50749 57804 64104 77072 85472 91523 101498 115608 128208 152247 154144 170944 183046 202996 231216 256416 274569 304494 308288 366092 405992 462432 512832 549138 608988 732184 811984 924864 1098276 1217976 1464368 1623968 2196552 2435952 2928736 3247936 4393104 4871904 5857472 8786208 9743808 12866207 17572416 25732414 38598621 51464828 77197242 102929656 154394484 205859312 244457933 308788968 411718624 488915866 617577936 733373799 823437248 977831732 1235155872 1466747598 1955663464 2470311744 2933495196 3911326928 5866990392 7822653856 11733980784 15645307712 23467961568 46935923136