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34877445856 = 2511432304271
BaseRepresentation
bin100000011110110110…
…111001011011100000
310100000200001211020221
4200132312321123200
51032412111231411
624004504412424
72343203253421
oct403666713340
9110020054227
1034877445856
1113878455320
126914477114
13339aa14336
14198c127648
15d91e23071
hex81edb96e0

34877445856 has 48 divisors (see below), whose sum is σ = 76649303808. Its totient is φ = 15484694400.

The previous prime is 34877445833. The next prime is 34877445857. The reversal of 34877445856 is 65854477843.

34877445856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34877445794 and 34877445803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34877445857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137000 + ... + 1167271.

It is an arithmetic number, because the mean of its divisors is an integer number (1596860496).

Almost surely, 234877445856 is an apocalyptic number.

It is an amenable number.

34877445856 is an abundant number, since it is smaller than the sum of its proper divisors (41771857952).

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

34877445856 is a wasteful number, since it uses less digits than its factorization.

34877445856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304335 (or 2304327 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 61.

The spelling of 34877445856 in words is "thirty-four billion, eight hundred seventy-seven million, four hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 2304271 4608542 9217084 18434168 25346981 36868336 50693962 73736672 99083653 101387924 198167306 202775848 396334612 405551696 792669224 811103392 1089920183 1585338448 2179840366 3170676896 4359680732 8719361464 17438722928 34877445856