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132166036220742 = 23340970126213257
BaseRepresentation
bin11110000011010001001101…
…101000111110101101000110
3122022221221122022022001221000
4132003101031220332231012
5114310402020233030432
61145032123331234130
736560452404616116
oct3603211550765506
9568857568261830
10132166036220742
1139126334981157
12129a67b6148946
1358992857c4504
14248cc280bd046
151042e1de0357c
hex78344da3eb46

132166036220742 has 128 divisors (see below), whose sum is σ = 295043453078400. Its totient is φ = 43854725376000.

The previous prime is 132166036220711. The next prime is 132166036220749. The reversal of 132166036220742 is 247022630661231.

132166036220742 is a `hidden beast` number, since 1 + 3 + 2 + 16 + 6 + 0 + 3 + 622 + 0 + 7 + 4 + 2 = 666.

132166036220742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321660362207422 (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 (132166036220749) 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, 40579069978 + ... + 40579073234.

It is an arithmetic number, because the mean of its divisors is an integer number (2305026977175).

Almost surely, 2132166036220742 is an apocalyptic number.

132166036220742 is an abundant number, since it is smaller than the sum of its proper divisors (162877416857658).

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

132166036220742 is a wasteful number, since it uses less digits than its factorization.

132166036220742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 132166036220742 its reverse (247022630661231), we get a palindrome (379188666881973).

The spelling of 132166036220742 in words is "one hundred thirty-two trillion, one hundred sixty-six billion, thirty-six million, two hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 409 701 818 1227 1402 2103 2454 2621 3257 3681 4206 5242 6309 6514 7362 7863 9771 11043 12618 15726 18927 19542 22086 23589 29313 37854 47178 58626 70767 87939 141534 175878 286709 573418 860127 1071989 1332113 1720254 1837321 2143978 2283157 2580381 2664226 3215967 3674642 3996339 4566314 5160762 5511963 6431934 6849471 7741143 7992678 8536597 9647901 11023926 11989017 13698942 15482286 16535889 17073194 19295802 20548413 23978034 25609791 28943703 33071778 35967051 41096826 49607667 51219582 57887406 61645239 71934102 76829373 99215334 123290478 153658746 230488119 460976238 751464289 933811213 1502928578 1867622426 2254392867 2801433639 3491468173 4508785734 5602867278 5984154497 6763178601 6982936346 8404300917 10474404519 11968308994 13526357202 16808601834 17952463491 20289535803 20948809038 25212902751 31423213557 35904926982 40579071606 50425805502 53857390473 62846427114 94269640671 107714780946 161572171419 188539281342 323144342838 2447519189273 4895038378546 7342557567819 14685115135638 22027672703457 44055345406914 66083018110371 132166036220742