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34776972811 = 72172913910357
BaseRepresentation
bin100000011000110111…
…100111111000001011
310022202200000021011001
4200120313213320023
51032210401112221
623550515115431
72340543251200
oct403067477013
9108680007131
1034776972811
1113826770449
1268a68a2b77
133382c66429
14197ca51ca7
15d881c8391
hex818de7e0b

34776972811 has 48 divisors (see below), whose sum is σ = 44634693600. Its totient is φ = 26890472448.

The previous prime is 34776972799. The next prime is 34776972851. The reversal of 34776972811 is 11827967743.

34776972811 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34776972811 - 25 = 34776972779 is a prime.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34776972851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352645 + ... + 3363001.

It is an arithmetic number, because the mean of its divisors is an integer number (929889450).

Almost surely, 234776972811 is an apocalyptic number.

34776972811 is a deficient number, since it is larger than the sum of its proper divisors (9857720789).

34776972811 is a wasteful number, since it uses less digits than its factorization.

34776972811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10549 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 55.

The spelling of 34776972811 in words is "thirty-four billion, seven hundred seventy-six million, nine hundred seventy-two thousand, eight hundred eleven".

Divisors: 1 7 17 29 49 119 139 203 493 833 973 1421 2363 3451 4031 6811 10357 16541 24157 28217 68527 72499 115787 176069 197519 300353 479689 507493 1232483 1439623 2102471 3357823 5106001 8627381 10077361 14717297 24473591 35742007 41749067 70541527 171315137 250194049 292243469 709734139 1199205959 2045704283 4968138973 34776972811