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34235511021 = 32792609509
BaseRepresentation
bin11111111000100110…
…000111000011101101
310021100221011011012200
4133320212013003231
51030103242323041
623421053452113
72321250020325
oct377046070355
9107327134180
1034235511021
1113579065168
1267754a1039
1332c7a2533a
14192ab86285
15d558c01b6
hex7f89870ed

34235511021 has 18 divisors (see below), whose sum is σ = 50085265230. Its totient is φ = 22534729776.

The previous prime is 34235511001. The next prime is 34235511043. The reversal of 34235511021 is 12011553243.

34235511021 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 551 + 102 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33998196996 + 237314025 = 184386^2 + 15405^2 .

It is not a de Polignac number, because 34235511021 - 25 = 34235510989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235511001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 248586 + ... + 360923.

It is an arithmetic number, because the mean of its divisors is an integer number (2782514735).

Almost surely, 234235511021 is an apocalyptic number.

It is an amenable number.

34235511021 is a deficient number, since it is larger than the sum of its proper divisors (15849754209).

34235511021 is an equidigital number, since it uses as much as digits as its factorization.

34235511021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609673 (or 609591 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 34235511021 in words is "thirty-four billion, two hundred thirty-five million, five hundred eleven thousand, twenty-one".

Divisors: 1 3 9 79 237 711 6241 18723 56169 609509 1828527 5485581 48151211 144453633 433360899 3803945669 11411837007 34235511021