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542032423416 = 233211977055509
BaseRepresentation
bin1111110001100111010…
…01100110100111111000
31220211002011122001112100
413320303221212213320
532340040300022131
61053001203543400
754106032403011
oct7706351464770
91824064561470
10542032423416
11199969199310
128907168ab60
133c1622ba733
141c33d6ca008
15e175c847e6
hex7e33a669f8

542032423416 has 96 divisors (see below), whose sum is σ = 1617969553200. Its totient is φ = 162558904320.

The previous prime is 542032423411. The next prime is 542032423447. The reversal of 542032423416 is 614324230245.

542032423416 is a `hidden beast` number, since 54 + 20 + 3 + 242 + 341 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542032423411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450931 + ... + 3604578.

Almost surely, 2542032423416 is an apocalyptic number.

It is an amenable number.

542032423416 is an abundant number, since it is smaller than the sum of its proper divisors (1075937129784).

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

542032423416 is a wasteful number, since it uses less digits than its factorization.

542032423416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055629 (or 7055622 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 542032423416 in words is "five hundred forty-two billion, thirty-two million, four hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 1067 1164 1746 2134 2328 3201 3492 4268 6402 6984 8536 9603 12804 19206 25608 38412 76824 7055509 14111018 21166527 28222036 42333054 56444072 63499581 77610599 84666108 126999162 155221198 169332216 232831797 253998324 310442396 465663594 507996648 620884792 684384373 698495391 931327188 1368768746 1396990782 1862654376 2053153119 2737537492 2793981564 4106306238 5475074984 5587963128 6159459357 7528228103 8212612476 12318918714 15056456206 16425224952 22584684309 24637837428 30112912412 45169368618 49275674856 60225824824 67754052927 90338737236 135508105854 180677474472 271016211708 542032423416