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132153441554553 = 31311669543737057
BaseRepresentation
bin11110000011000101011110…
…111100001001000001111001
3122022220202010120012201220220
4132003011132330021001321
5114310200222014221203
61145022241500010253
736556525322666526
oct3603053674110171
9568822116181826
10132153441554553
1139120a61585021
12129a4280230989
1358980293b0b03
14248c39150614d
15104293336a653
hex78315ef09079

132153441554553 has 32 divisors (see below), whose sum is σ = 177693513191040. Its totient is φ = 87358944890880.

The previous prime is 132153441554549. The next prime is 132153441554557. The reversal of 132153441554553 is 355455144351231.

It is an interprime number because it is at equal distance from previous prime (132153441554549) and next prime (132153441554557).

It is not a de Polignac number, because 132153441554553 - 22 = 132153441554549 is a prime.

It is a super-2 number, since 2×1321534415545532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132153441554496 and 132153441554505.

It is not an unprimeable number, because it can be changed into a prime (132153441554557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3566202201 + ... + 3566239257.

It is an arithmetic number, because the mean of its divisors is an integer number (5552922287220).

Almost surely, 2132153441554553 is an apocalyptic number.

It is an amenable number.

132153441554553 is a deficient number, since it is larger than the sum of its proper divisors (45540071636487).

132153441554553 is a wasteful number, since it uses less digits than its factorization.

132153441554553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44297.

The product of its digits is 10800000, while the sum is 51.

The spelling of 132153441554553 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred forty-one million, five hundred fifty-four thousand, five hundred fifty-three".

Divisors: 1 3 131 393 1669 5007 5437 16311 37057 111171 218639 655917 712247 2136741 4854467 9074353 14563401 27223059 61848133 185544399 201478909 604436727 1188740243 3566220729 8102105423 24306316269 26393737079 79181211237 336268299121 1008804897363 44051147184851 132153441554553