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132254150020320 = 2535332382915883
BaseRepresentation
bin11110000100100011010001…
…101000011100110011100000
3122100021101002002221212111110
4132010203101220130303200
5114313322444401122240
61145140415011543320
736600022061556066
oct3604432150346340
9570241062855443
10132254150020320
113915a740911a19
12129bb8a72bab40
1358a4688905063
1424931c66a6036
15104537989ac80
hex7848d1a1cce0

132254150020320 has 96 divisors (see below), whose sum is σ = 416725946404992. Its totient is φ = 35257159680512.

The previous prime is 132254150020297. The next prime is 132254150020351. The reversal of 132254150020320 is 23020051452231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39862902 + ... + 43052981.

It is an arithmetic number, because the mean of its divisors is an integer number (4340895275052).

Almost surely, 2132254150020320 is an apocalyptic number.

132254150020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132254150020320 is an abundant number, since it is smaller than the sum of its proper divisors (284471796384672).

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

132254150020320 is a wasteful number, since it uses less digits than its factorization.

132254150020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82919224 (or 82919216 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 132254150020320 in words is "one hundred thirty-two trillion, two hundred fifty-four billion, one hundred fifty million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3323 6646 9969 13292 16615 19938 26584 33230 39876 49845 53168 66460 79752 99690 106336 132920 159504 199380 265840 319008 398760 531680 797520 1595040 82915883 165831766 248747649 331663532 414579415 497495298 663327064 829158830 994990596 1243738245 1326654128 1658317660 1989981192 2487476490 2653308256 3316635320 3979962384 4974952980 6633270640 7959924768 9949905960 13266541280 19899811920 39799623840 275529479209 551058958418 826588437627 1102117916836 1377647396045 1653176875254 2204235833672 2755294792090 3306353750508 4132942188135 4408471667344 5510589584180 6612707501016 8265884376270 8816943334688 11021179168360 13225415002032 16531768752540 22042358336720 26450830004064 33063537505080 44084716673440 66127075010160 132254150020320