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132161145481584 = 24327272703146703
BaseRepresentation
bin11110000011001100101010…
…001000010010100101110000
3122022221111000110111210001200
4132003030222020102211300
5114310312011220402314
61145025554141531200
736560220250204302
oct3603145210224560
9568844013453050
10132161145481584
113912425521046a
12129a5870273b00
13589898649c70b
14248c8c273d972
151042c34880709
hex78332a212970

132161145481584 has 120 divisors (see below), whose sum is σ = 370398041674752. Its totient is φ = 43990549130880.

The previous prime is 132161145481571. The next prime is 132161145481697. The reversal of 132161145481584 is 485184541161231.

It is a happy number.

132161145481584 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 1 + 1 + 4 + 54 + 8 + 1 + 584 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132161145481584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2829797977 + ... + 2829844679.

Almost surely, 2132161145481584 is an apocalyptic number.

It is an amenable number.

132161145481584 is an abundant number, since it is smaller than the sum of its proper divisors (238236896193168).

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

132161145481584 is a wasteful number, since it uses less digits than its factorization.

132161145481584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74475 (or 74466 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 132161145481584 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, one hundred forty-five million, four hundred eighty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 727 1454 2181 2908 4362 5816 6543 8724 11632 13086 17448 26172 27031 34896 46703 52344 54062 81093 93406 104688 108124 140109 162186 186812 216248 243279 280218 324372 373624 420327 432496 486558 560436 648744 747248 840654 973116 1120872 1297488 1681308 1946232 2241744 3362616 3892464 6725232 19651537 33953081 39303074 58954611 67906162 78606148 101859243 117909222 135812324 157212296 176863833 203718486 235818444 271624648 305577729 314424592 353727666 407436972 471636888 543249296 611155458 707455332 814873944 943273776 1222310916 1262428793 1414910664 1629747888 2444621832 2524857586 2829821328 3787286379 4889243664 5049715172 7574572758 10099430344 11361859137 15149145516 20198860688 22723718274 30298291032 45447436548 60596582064 90894873096 181789746192 917785732511 1835571465022 2753357197533 3671142930044 5506714395066 7342285860088 8260071592599 11013428790132 14684571720176 16520143185198 22026857580264 33040286370396 44053715160528 66080572740792 132161145481584