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34054646656 = 271961229553
BaseRepresentation
bin11111101101110100…
…001010101110000000
310020220022211021221111
4133231310022232000
51024220442143111
623351113133104
72313622502062
oct375564125600
9106808737844
1034054646656
1113495a62088
1267249ba194
13329940abc4
141910b45732
15d44a95a21
hex7edd0ab80

34054646656 has 64 divisors (see below), whose sum is σ = 72584974800. Its totient is φ = 15866634240.

The previous prime is 34054646609. The next prime is 34054646677. The reversal of 34054646656 is 65664645043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33576 + ... + 263128.

Almost surely, 234054646656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34054646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292487400).

34054646656 is an abundant number, since it is smaller than the sum of its proper divisors (38530328144).

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

34054646656 is a wasteful number, since it uses less digits than its factorization.

34054646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229647 (or 229635 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 34054646656 in words is "thirty-four billion, fifty-four million, six hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 488 608 976 1159 1216 1952 2318 2432 3904 4636 7808 9272 18544 37088 74176 148352 229553 459106 918212 1836424 3672848 4361507 7345696 8723014 14002733 14691392 17446028 28005466 29382784 34892056 56010932 69784112 112021864 139568224 224043728 266051927 279136448 448087456 532103854 558272896 896174912 1064207708 1792349824 2128415416 4256830832 8513661664 17027323328 34054646656