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132153443353116 = 223217493343773971
BaseRepresentation
bin11110000011000101011111…
…000011000000001000011100
3122022220202010200121010002100
4132003011133003000020130
5114310200222444244431
61145022242002325100
736556525344200253
oct3603053703001034
9568822120533070
10132153443353116
1139120a625a3339
12129a4280959790
135898029890653
14248c39185379a
1510429335c34e6
hex78315f0c021c

132153443353116 has 72 divisors (see below), whose sum is σ = 353776514115024. Its totient is φ = 41451498247680.

The previous prime is 132153443353111. The next prime is 132153443353121. The reversal of 132153443353116 is 611353344351231.

132153443353116 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 53 + 4 + 433 + 53 + 116 = 666.

It is an interprime number because it is at equal distance from previous prime (132153443353111) and next prime (132153443353121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153443353111) by changing a digit.

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, 18867990 + ... + 24905981.

It is an arithmetic number, because the mean of its divisors is an integer number (4913562696042).

Almost surely, 2132153443353116 is an apocalyptic number.

It is an amenable number.

132153443353116 is an abundant number, since it is smaller than the sum of its proper divisors (221623070761908).

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

132153443353116 is a wasteful number, since it uses less digits than its factorization.

132153443353116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43778931 (or 43778926 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 132153443353116 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred forty-three million, three hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4933 9866 14799 19732 29598 44397 59196 83861 88794 167722 177588 251583 335444 503166 754749 1006332 1509498 3018996 43773971 87547942 131321913 175095884 262643826 393965739 525287652 744157507 787931478 1488315014 1575862956 2232472521 2976630028 4464945042 6697417563 8929890084 13394835126 26789670252 215936998943 431873997886 647810996829 863747995772 1295621993658 1943432990487 2591243987316 3670928982031 3886865980974 7341857964062 7773731961948 11012786946093 14683715928124 22025573892186 33038360838279 44051147784372 66076721676558 132153443353116