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34542365632 = 262367714933
BaseRepresentation
bin100000001010111000…
…101010101111000000
310022011022112222121021
4200022320222233000
51031220321200012
623511334435224
72331664156225
oct401270525700
9108138488537
1034542365632
11137162a0615
126840202b14
133346483108
14195982194c
15d727d5007
hex80ae2abc0

34542365632 has 112 divisors (see below), whose sum is σ = 73630121472. Its totient is φ = 16041231360.

The previous prime is 34542365621. The next prime is 34542365639. The reversal of 34542365632 is 23656324543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542365639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999838 + ... + 7004770.

Almost surely, 234542365632 is an apocalyptic number.

34542365632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36815060736).

34542365632 is an abundant number, since it is smaller than the sum of its proper divisors (39087755840).

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

34542365632 is a wasteful number, since it uses less digits than its factorization.

34542365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5096 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 43.

The spelling of 34542365632 in words is "thirty-four billion, five hundred forty-two million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 67 71 92 134 142 184 268 284 368 536 568 736 1072 1136 1472 1541 1633 2144 2272 3082 3266 4288 4544 4757 4933 6164 6532 9514 9866 12328 13064 19028 19732 24656 26128 38056 39464 49312 52256 76112 78928 98624 104512 109411 113459 152224 157856 218822 226918 304448 315712 330511 350243 437644 453836 661022 700486 875288 907672 1322044 1400972 1750576 1815344 2644088 2801944 3501152 3630688 5288176 5603888 7002304 7261376 7601753 8055589 10576352 11207776 15203506 16111178 21152704 22415552 23466281 30407012 32222356 46932562 60814024 64444712 93865124 121628048 128889424 187730248 243256096 257778848 375460496 486512192 515557696 539724463 750920992 1079448926 1501841984 2158897852 4317795704 8635591408 17271182816 34542365632