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34714164736 = 29101366931
BaseRepresentation
bin100000010101001000…
…000001111000000000
310022121021211021200001
4200111020001320000
51032043311232421
623540353005344
72336151350236
oct402510017000
9108537737601
1034714164736
11137a4271849
126889853854
133372c452a4
141974582956
15d8291d691
hex815201e00

34714164736 has 40 divisors (see below), whose sum is σ = 69430036104. Its totient is φ = 17339688960.

The previous prime is 34714164629. The next prime is 34714164743. The reversal of 34714164736 is 63746141743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485191 + ... + 552121.

Almost surely, 234714164736 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 34714164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715018052).

34714164736 is an abundant number, since it is smaller than the sum of its proper divisors (34715871368).

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

34714164736 is an equidigital number, since it uses as much as digits as its factorization.

34714164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67962 (or 67946 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 46.

The spelling of 34714164736 in words is "thirty-four billion, seven hundred fourteen million, one hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1013 2026 4052 8104 16208 32416 64832 66931 129664 133862 259328 267724 518656 535448 1070896 2141792 4283584 8567168 17134336 34268672 67801103 135602206 271204412 542408824 1084817648 2169635296 4339270592 8678541184 17357082368 34714164736