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132708709738992 = 24341613133531833
BaseRepresentation
bin11110001011001010100111…
…100000001010100111110000
3122101212211101011021010020110
4132023022213200022213300
5114343244414143121432
61150125312320141320
736644613353456232
oct3613124740124760
9571784334233213
10132708709738992
11393154a1a36502
1212a73a06467840
1359084ba8687aa
1424ab1c89ac252
1510520d10c1dcc
hex78b2a780a9f0

132708709738992 has 160 divisors (see below), whose sum is σ = 358090332376896. Its totient is φ = 42314172825600.

The previous prime is 132708709738991. The next prime is 132708709739059. The reversal of 132708709738992 is 299837907807231.

It is a super-2 number, since 2×1327087097389922 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132708709738991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35809108 + ... + 39340940.

Almost surely, 2132708709738992 is an apocalyptic number.

132708709738992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132708709738992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179045166188448).

132708709738992 is an abundant number, since it is smaller than the sum of its proper divisors (225381622637904).

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

132708709738992 is a wasteful number, since it uses less digits than its factorization.

132708709738992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532259 (or 3532253 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 75.

The spelling of 132708709738992 in words is "one hundred thirty-two trillion, seven hundred eight billion, seven hundred nine million, seven hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 244 246 313 328 366 488 492 626 656 732 939 976 984 1252 1464 1878 1968 2501 2504 2928 3756 5002 5008 7503 7512 10004 12833 15006 15024 19093 20008 25666 30012 38186 38499 40016 51332 57279 60024 76372 76998 102664 114558 120048 152744 153996 205328 229116 305488 307992 458232 615984 782813 916464 1565626 2348439 3131252 3531833 4696878 6262504 7063666 9393756 10595499 12525008 14127332 18787512 21190998 28254664 37575024 42381996 56509328 84763992 144805153 169527984 215441813 289610306 430883626 434415459 579220612 646325439 861767252 868830918 1105463729 1158441224 1292650878 1723534504 1737661836 2210927458 2316882448 2585301756 3316391187 3447069008 3475323672 4421854916 5170603512 6632782374 6950647344 8833114333 8843709832 10341207024 13265564748 17666228666 17687419664 26499342999 26531129496 35332457332 45324012889 52998685998 53062258992 67433287469 70664914664 90648025778 105997371996 134866574938 135972038667 141329829328 181296051556 202299862407 211994743992 269733149876 271944077334 362592103112 404599724814 423989487984 539466299752 543888154668 725184206224 809199449628 1078932599504 1087776309336 1618398899256 2175552618672 2764764786229 3236797798512 5529529572458 8294294358687 11059059144916 16588588717374 22118118289832 33177177434748 44236236579664 66354354869496 132708709738992