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34772668007 = 7111291349801
BaseRepresentation
bin100000011000100111…
…001100111001100111
310022202100220120001212
4200120213030321213
51032203300334012
623550242542035
72340461541560
oct403047147147
9108670816055
1034772668007
11138242a0160
1268a536791b
1333820b9bcc
14197c251167
15d87b27b22
hex8189cce67

34772668007 has 16 divisors (see below), whose sum is σ = 43386641664. Its totient is φ = 27074520000.

The previous prime is 34772668001. The next prime is 34772668033. The reversal of 34772668007 is 70086627743.

It is not a de Polignac number, because 34772668007 - 24 = 34772667991 is a prime.

It is a super-3 number, since 3×347726680073 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34772668001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75494 + ... + 274307.

It is an arithmetic number, because the mean of its divisors is an integer number (2711665104).

Almost surely, 234772668007 is an apocalyptic number.

34772668007 is a deficient number, since it is larger than the sum of its proper divisors (8613973657).

34772668007 is a wasteful number, since it uses less digits than its factorization.

34772668007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351110.

The product of its (nonzero) digits is 2370816, while the sum is 50.

The spelling of 34772668007 in words is "thirty-four billion, seven hundred seventy-two million, six hundred sixty-eight thousand, seven".

Divisors: 1 7 11 77 1291 9037 14201 99407 349801 2448607 3847811 26934677 451593091 3161151637 4967524001 34772668007