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42606969984 = 2732172175601
BaseRepresentation
bin100111101011100100…
…101100010010000000
311001222100112100000100
4213223210230102000
51144224341014414
631323503122400
73035561161245
oct475344542200
9131870470010
1042606969984
1117084584197
128310ba3400
1340301c5b57
1420c29055cc
1511957e2609
hex9eb92c480

42606969984 has 96 divisors (see below), whose sum is σ = 129818171340. Its totient is φ = 13366886400.

The previous prime is 42606969983. The next prime is 42606969989. The reversal of 42606969984 is 48996960624.

42606969984 is a `hidden beast` number, since 426 + 0 + 69 + 69 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39651960384 + 2955009600 = 199128^2 + 54360^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42606969983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068217 + ... + 1107384.

Almost surely, 242606969984 is an apocalyptic number.

It is an amenable number.

42606969984 is an abundant number, since it is smaller than the sum of its proper divisors (87211201356).

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

42606969984 is a wasteful number, since it uses less digits than its factorization.

42606969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175638 (or 2175623 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 42606969984 in words is "forty-two billion, six hundred six million, nine hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 2175601 4351202 6526803 8702404 13053606 17404808 19580409 26107212 34809616 36985217 39160818 52214424 69619232 73970434 78321636 104428848 110955651 139238464 147940868 156643272 208857696 221911302 278476928 295881736 313286544 332866953 417715392 443822604 591763472 626573088 665733906 835430784 887645208 1183526944 1253146176 1331467812 1775290416 2367053888 2506292352 2662935624 3550580832 4734107776 5325871248 7101161664 10651742496 14202323328 21303484992 42606969984