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132653512302320 = 2452917635989393
BaseRepresentation
bin11110001010010111001101…
…011110101001111011110000
3122101200112220100112210212002
4132022113031132221323300
5114341343343122133240
61150044103211353132
736640620461136002
oct3612271536517360
9571615810483762
10132653512302320
11392a4047474349
1212a65180a527a8
13590323209c869
1424a866dca4372
1510509502c5d15
hex78a5cd7a9ef0

132653512302320 has 80 divisors (see below), whose sum is σ = 308577117568320. Its totient is φ = 53034279800832.

The previous prime is 132653512302253. The next prime is 132653512302359. The reversal of 132653512302320 is 23203215356231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1326535123023202 (a number of 29 digits) contains 22 as substring.

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, 1483891544 + ... + 1483980936.

It is an arithmetic number, because the mean of its divisors is an integer number (3857213969604).

Almost surely, 2132653512302320 is an apocalyptic number.

132653512302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132653512302320 is an abundant number, since it is smaller than the sum of its proper divisors (175923605266000).

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

132653512302320 is a wasteful number, since it uses less digits than its factorization.

132653512302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98682 (or 98676 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 132653512302320 its reverse (23203215356231), we get a palindrome (155856727658551).

The spelling of 132653512302320 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twelve million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2917 5834 6359 11668 12718 14585 23336 25436 29170 31795 46672 50872 58340 63590 89393 101744 116680 127180 178786 233360 254360 357572 446965 508720 715144 893930 1430288 1787860 3575720 7151440 18549203 37098406 74196812 92746015 148393624 185492030 260759381 296787248 370984060 521518762 568450087 741968120 1043037524 1136900174 1303796905 1483936240 2086075048 2273800348 2607593810 2842250435 4172150096 4547600696 5215187620 5684500870 9095201392 10430375240 11369001740 20860750480 22738003480 45476006960 1658168903779 3316337807558 6632675615116 8290844518895 13265351230232 16581689037790 26530702460464 33163378075580 66326756151160 132653512302320