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16007681677614 = 23112921889152671
BaseRepresentation
bin1110100011110001010000…
…1011100001100100101110
32002200022121212012110101220
43220330110023201210232
54044232213002140424
654013454421044210
73241342163135154
oct350742413414456
962608555173356
1016007681677614
115111901a95570
121966490256666
138c1696ab6993
143d4ac12033d4
151cb5e3498579
hexe8f142e192e

16007681677614 has 96 divisors (see below), whose sum is σ = 36191105233920. Its totient is φ = 4681033190400.

The previous prime is 16007681677591. The next prime is 16007681677667. The reversal of 16007681677614 is 41677618670061.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104774499 + ... + 104927169.

It is an arithmetic number, because the mean of its divisors is an integer number (376990679520).

Almost surely, 216007681677614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16007681677614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095552616960).

16007681677614 is an abundant number, since it is smaller than the sum of its proper divisors (20183423556306).

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

16007681677614 is a wasteful number, since it uses less digits than its factorization.

16007681677614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154634 (or 154605 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 16007681677614 in words is "sixteen trillion, seven billion, six hundred eighty-one million, six hundred seventy-seven thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 841 957 1682 1889 1914 2523 3778 5046 5667 9251 11334 18502 20779 27753 41558 54781 55506 62337 109562 124674 152671 164343 305342 328686 458013 602591 916026 1205182 1588649 1679381 1807773 3177298 3358762 3615546 4427459 4765947 5038143 8854918 9531894 10076286 13282377 17475139 26564754 34950278 48702049 52425417 97404098 104850834 128396311 146106147 256792622 288395519 292212294 385188933 576791038 770377866 865186557 1412359421 1730373114 2824718842 3172350709 4237078263 6344701418 8363470051 8474156526 9517052127 16726940102 19034104254 25090410153 50180820306 91998170561 183996341122 242540631479 275994511683 485081262958 551989023366 727621894437 1455243788874 2667946946269 5335893892538 8003840838807 16007681677614