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13466734056 = 2334312632549
BaseRepresentation
bin11001000101010111…
…00000110111101000
31021202112000222020000
430202223200313220
5210034440442211
610104142503000
7654501231216
oct144253406750
937675028200
1013466734056
115790690686
122739b94a60
131367caa3b9
1491a741cb6
1553c3e8656
hex322ae0de8

13466734056 has 160 divisors (see below), whose sum is σ = 39099456000. Its totient is φ = 4325892480.

The previous prime is 13466734033. The next prime is 13466734067. The reversal of 13466734056 is 65043766431.

It is a super-2 number, since 2×134667340562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5281870 + ... + 5284418.

It is an arithmetic number, because the mean of its divisors is an integer number (244371600).

Almost surely, 213466734056 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 13466734056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549728000).

13466734056 is an abundant number, since it is smaller than the sum of its proper divisors (25632721944).

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

13466734056 is a wasteful number, since it uses less digits than its factorization.

13466734056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 13466734056 in words is "thirteen billion, four hundred sixty-six million, seven hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 263 279 324 372 526 558 648 744 789 837 1052 1116 1578 1674 2104 2232 2367 2511 2549 3156 3348 4734 5022 5098 6312 6696 7101 7647 8153 9468 10044 10196 14202 15294 16306 18936 20088 20392 21303 22941 24459 28404 30588 32612 42606 45882 48918 56808 61176 65224 68823 73377 79019 85212 91764 97836 137646 146754 158038 170424 183528 195672 206469 220131 237057 275292 293508 316076 412938 440262 474114 550584 587016 632152 660393 670387 711171 825876 880524 948228 1320786 1340774 1422342 1651752 1761048 1896456 2011161 2133513 2641572 2681548 2844684 4022322 4267026 5283144 5363096 5689368 6033483 6400539 8044644 8534052 12066966 12801078 16089288 17068104 18100449 20781997 24133932 25602156 36200898 41563994 48267864 51204312 54301347 62345991 72401796 83127988 108602694 124691982 144803592 166255976 187037973 217205388 249383964 374075946 434410776 498767928 561113919 748151892 1122227838 1496303784 1683341757 2244455676 3366683514 4488911352 6733367028 13466734056