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32120355145152 = 263237273631147
BaseRepresentation
bin1110100110110100110100…
…10110111100010111000000
311012201200020202222110111210
413103122122112330113000
513202224441404121102
6152151515404410120
76523422225633261
oct723323226742700
9135650222873453
1032120355145152
11a26419111584a
123729181b46940
1314bcc23625a31
147d08c23cc968
153aa7ce01036c
hex1d369a5bc5c0

32120355145152 has 56 divisors (see below), whose sum is σ = 88680110956416. Its totient is φ = 10241272653568.

The previous prime is 32120355145147. The next prime is 32120355145157. The reversal of 32120355145152 is 25154155302123.

It is an interprime number because it is at equal distance from previous prime (32120355145147) and next prime (32120355145157).

It is a self number, because there is not a number n which added to its sum of digits gives 32120355145152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120355145157) 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 7 ways as a sum of consecutive naturals, for example, 3636811158 + ... + 3636819989.

It is an arithmetic number, because the mean of its divisors is an integer number (1583573409936).

Almost surely, 232120355145152 is an apocalyptic number.

32120355145152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32120355145152 is an abundant number, since it is smaller than the sum of its proper divisors (56559755811264).

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

32120355145152 is a wasteful number, since it uses less digits than its factorization.

32120355145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273631185 (or 7273631175 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 32120355145152 in words is "thirty-two trillion, one hundred twenty billion, three hundred fifty-five million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 7273631147 14547262294 21820893441 29094524588 43641786882 58189049176 87283573764 116378098352 167293516381 174567147528 232756196704 334587032762 349134295056 465512393408 501880549143 669174065524 698268590112 1003761098286 1338348131048 1396537180224 2007522196572 2676696262096 4015044393144 5353392524192 8030088786288 10706785048384 16060177572576 32120355145152