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16344669479382 = 23317149199359957
BaseRepresentation
bin1110110111011000101000…
…1101111110000111010110
32010212112110010012111111000
43231312022031332013112
54120242340341320012
654432345411124130
73304602101162346
oct355661215760726
963775403174430
1016344669479382
11523180a8a8782
1219bb8588a3646
139173ac90230a
1440712c852d26
151d5267e8addc
hexedd8a37e1d6

16344669479382 has 128 divisors (see below), whose sum is σ = 38736225648000. Its totient is φ = 5090684571648.

The previous prime is 16344669479377. The next prime is 16344669479389. The reversal of 16344669479382 is 28397496644361.

16344669479382 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 466 + 94 + 79 + 3 + 8 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16344669479382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16344669479389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272576548 + ... + 272636504.

It is an arithmetic number, because the mean of its divisors is an integer number (302626762875).

Almost surely, 216344669479382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16344669479382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368112824000).

16344669479382 is an abundant number, since it is smaller than the sum of its proper divisors (22391556168618).

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

16344669479382 is a wasteful number, since it uses less digits than its factorization.

16344669479382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62127 (or 62121 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 16344669479382 in words is "sixteen trillion, three hundred forty-four billion, six hundred sixty-nine million, four hundred seventy-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 149 153 298 306 447 459 894 918 1341 1993 2533 2682 3986 4023 5066 5979 7599 8046 11958 15198 17937 22797 33881 35874 45594 53811 59957 67762 68391 101643 107622 119914 136782 179871 203286 296957 304929 359742 539613 593914 609858 890871 914787 1019269 1079226 1618839 1781742 1829574 2038538 2672613 3057807 3237678 5048269 5345226 6115614 8017839 8933593 9173421 10096538 15144807 16035678 17867186 18346842 26800779 27520263 30289614 45434421 53601558 55040526 80402337 90868842 119494301 136303263 151871081 160804674 238988602 241207011 272606526 303742162 358482903 455613243 482414022 716965806 911226486 1075448709 1366839729 2031403117 2150897418 2733679458 3226346127 4062806234 4100519187 6094209351 6452692254 8201038374 12188418702 17804650849 18282628053 35609301698 36565256106 53413952547 54847884159 106827905094 109695768318 160241857641 302679064433 320483715282 480725572923 605358128866 908037193299 961451145846 1816074386598 2724111579897 5448223159794 8172334739691 16344669479382