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132566343552 = 273338358317
BaseRepresentation
bin111101101110110010…
…0011101111110000000
3110200011202222000011000
41323131210131332000
54132443440443202
6140522232452000
712402055220346
oct1733544357600
9420152860130
10132566343552
1151248277015
122183824a000
13c668792406
1465b8269996
1536ad2e691c
hex1edd91df80

132566343552 has 64 divisors (see below), whose sum is σ = 391254843600. Its totient is φ = 44188780032.

The previous prime is 132566343527. The next prime is 132566343593. The reversal of 132566343552 is 255343665231.

132566343552 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 6 + 634 + 3 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132566343498 and 132566343507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19175703 + ... + 19182614.

Almost surely, 2132566343552 is an apocalyptic number.

132566343552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132566343552 is an abundant number, since it is smaller than the sum of its proper divisors (258688500048).

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

132566343552 is an equidigital number, since it uses as much as digits as its factorization.

132566343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38358340 (or 38358322 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 132566343552 in words is "one hundred thirty-two billion, five hundred sixty-six million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 38358317 76716634 115074951 153433268 230149902 306866536 345224853 460299804 613733072 690449706 920599608 1035674559 1227466144 1380899412 1841199216 2071349118 2454932288 2761798824 3682398432 4142698236 4909864576 5523597648 7364796864 8285396472 11047195296 14729593728 16570792944 22094390592 33141585888 44188781184 66283171776 132566343552