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642126499021 = 72151223389173
BaseRepresentation
bin10010101100000011011…
…10001100110011001101
32021101102220021221020201
421112001232030303031
541010033340432041
61210553331213501
764251331120300
oct11260156146315
92241386257221
10642126499021
11228362739847
12a4546a47291
13487244481c7
1423117038b37
1511a833a3631
hex9581b8cccd

642126499021 has 24 divisors (see below), whose sum is σ = 755283992064. Its totient is φ = 544295959200.

The previous prime is 642126498977. The next prime is 642126499043. The reversal of 642126499021 is 120994621246.

It is a happy number.

It is not a de Polignac number, because 642126499021 - 219 = 642125974733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642126499081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455391 + ... + 1844563.

It is an arithmetic number, because the mean of its divisors is an integer number (31470166336).

Almost surely, 2642126499021 is an apocalyptic number.

It is an amenable number.

642126499021 is a deficient number, since it is larger than the sum of its proper divisors (113157493043).

642126499021 is a wasteful number, since it uses less digits than its factorization.

642126499021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389561 (or 389554 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 642126499021 in words is "six hundred forty-two billion, one hundred twenty-six million, four hundred ninety-nine thousand, twenty-one".

Divisors: 1 7 49 151 223 1057 1561 7399 10927 33673 235711 389173 1649977 2724211 19069477 58765123 86785579 411355861 607499053 2879491027 4252493371 13104622429 91732357003 642126499021