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34921132097 = 173755518493
BaseRepresentation
bin100000100001011101…
…100011000001000001
310100010201021022111212
4200201131203001001
51033004302211342
624013105015505
72344243503515
oct404135430101
9110121238455
1034921132097
11138a0083455
126927024595
1333a6a9b997
141993c5a145
15d95ba2182
hex821763041

34921132097 has 8 divisors (see below), whose sum is σ = 37974649896. Its totient is φ = 31978651392.

The previous prime is 34921132091. The next prime is 34921132111. The reversal of 34921132097 is 79023112943.

It can be written as a sum of positive squares in 4 ways, for example, as 23444509456 + 11476622641 = 153116^2 + 107129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34921132097 - 26 = 34921132033 is a prime.

It is a super-2 number, since 2×349211320972 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34921132091) 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, 27758618 + ... + 27759875.

It is an arithmetic number, because the mean of its divisors is an integer number (4746831237).

Almost surely, 234921132097 is an apocalyptic number.

34921132097 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34921132097 is a deficient number, since it is larger than the sum of its proper divisors (3053517799).

34921132097 is a wasteful number, since it uses less digits than its factorization.

34921132097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55518547.

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 34921132097 in words is "thirty-four billion, nine hundred twenty-one million, one hundred thirty-two thousand, ninety-seven".

Divisors: 1 17 37 629 55518493 943814381 2054184241 34921132097