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642316430633 = 17144577261337
BaseRepresentation
bin10010101100011010000…
…10101110110100101001
32021101221010200110102212
421112031002232310221
541010431001240013
61211024234134505
764256125401623
oct11261502566451
92241833613385
10642316430633
1122844a975219
12a459a581435
13487548b8787
1423134359c13
1511a94dbe6a8
hex958d0aed29

642316430633 has 8 divisors (see below), whose sum is σ = 680107056552. Its totient is φ = 604526616576.

The previous prime is 642316430627. The next prime is 642316430663. The reversal of 642316430633 is 336034613246.

It can be written as a sum of positive squares in 4 ways, for example, as 12185289769 + 630131140864 = 110387^2 + 793808^2 .

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 642316430633 - 220 = 642315382057 is a prime.

It is a super-3 number, since 3×6423164306333 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642316430663) 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 7 ways as a sum of consecutive naturals, for example, 2327141 + ... + 2588477.

It is an arithmetic number, because the mean of its divisors is an integer number (85013382069).

Almost surely, 2642316430633 is an apocalyptic number.

It is an amenable number.

642316430633 is a deficient number, since it is larger than the sum of its proper divisors (37790625919).

642316430633 is a wasteful number, since it uses less digits than its factorization.

642316430633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405931.

The product of its (nonzero) digits is 559872, while the sum is 41.

The spelling of 642316430633 in words is "six hundred forty-two billion, three hundred sixteen million, four hundred thirty thousand, six hundred thirty-three".

Divisors: 1 17 144577 261337 2457809 4442729 37783319449 642316430633