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642461031432 = 23341190132019
BaseRepresentation
bin10010101100101011010…
…10010101110000001000
32021102022012202221110000
421112111222111300020
541011230011001212
61211050441323000
764262532443403
oct11262552256010
92242265687400
10642461031432
11228514559a10
12a461aa96460
1348778846c8c
142314963ad3a
1511aa29341dc
hex9595a95c08

642461031432 has 80 divisors (see below), whose sum is σ = 1963075395600. Its totient is φ = 194685158880.

The previous prime is 642461031419. The next prime is 642461031463. The reversal of 642461031432 is 234130164246.

642461031432 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 610 + 3 + 1 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 45058882 + ... + 45073137.

It is an arithmetic number, because the mean of its divisors is an integer number (24538442445).

Almost surely, 2642461031432 is an apocalyptic number.

It is an amenable number.

642461031432 is an abundant number, since it is smaller than the sum of its proper divisors (1320614364168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642461031432 is a wasteful number, since it uses less digits than its factorization.

642461031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90132048 (or 90132035 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 642461031432 its reverse (234130164246), we get a palindrome (876591195678).

The spelling of 642461031432 in words is "six hundred forty-two billion, four hundred sixty-one million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 90132019 180264038 270396057 360528076 540792114 721056152 811188171 991452209 1081584228 1622376342 1982904418 2163168456 2433564513 2974356627 3244752684 3965808836 4867129026 5948713254 6489505368 7300693539 7931617672 8923069881 9734258052 11897426508 14601387078 17846139762 19468516104 23794853016 26769209643 29202774156 35692279524 53538419286 58405548312 71384559048 80307628929 107076838572 160615257858 214153677144 321230515716 642461031432