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132570252504 = 23344312593779
BaseRepresentation
bin111101101110111001…
…1011000010011011000
3110200012001022121020000
41323131303120103120
54133000441040004
6140522452333000
712402133360614
oct1733563302330
9420161277200
10132570252504
115124a4a6958
1221839614160
13c6695306c1
1465b89a6344
1536ad819c39
hex1eddcd84d8

132570252504 has 160 divisors (see below), whose sum is σ = 380357208000. Its totient is φ = 43116712128.

The previous prime is 132570252473. The next prime is 132570252527. The reversal of 132570252504 is 405252075231.

132570252504 is a `hidden beast` number, since 1 + 32 + 5 + 70 + 2 + 52 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35078887 + ... + 35082665.

It is an arithmetic number, because the mean of its divisors is an integer number (2377232550).

Almost surely, 2132570252504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132570252504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190178604000).

132570252504 is an abundant number, since it is smaller than the sum of its proper divisors (247786955496).

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

132570252504 is a wasteful number, since it uses less digits than its factorization.

132570252504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 132570252504 in words is "one hundred thirty-two billion, five hundred seventy million, two hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1259 1548 2322 2518 3096 3483 3777 3779 4644 5036 6966 7554 7558 9288 10072 11331 11337 13932 15108 15116 22662 22674 27864 30216 30232 33993 34011 45324 45348 54137 67986 68022 90648 90696 101979 102033 108274 135972 136044 162411 162497 203958 204066 216548 271944 272088 306099 324822 324994 407916 408132 433096 487233 487491 612198 649644 649988 815832 816264 974466 974982 1224396 1299288 1299976 1461699 1462473 1948932 1949964 2448792 2923398 2924946 3897864 3899928 4385097 4387419 4757761 5846796 5849892 8770194 8774838 9515522 11693592 11699784 13162257 14273283 17540388 17549676 19031044 26324514 28546566 35080776 35099352 38062088 42819849 52649028 57093132 85639698 105298056 114186264 128459547 171279396 204583723 256919094 342558792 385378641 409167446 513838188 613751169 770757282 818334892 1027676376 1227502338 1541514564 1636669784 1841253507 2455004676 3083029128 3682507014 4910009352 5523760521 7365014028 11047521042 14730028056 16571281563 22095042084 33142563126 44190084168 66285126252 132570252504