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18092402064 = 243211210192
BaseRepresentation
bin10000110110011001…
…000010010110010000
31201200220001020211100
4100312121002112100
5244023123331224
612151142544400
71210226610612
oct206631022620
951626036740
1018092402064
117744764500
12360b138100
131924413969
14c38c00db2
1570d55bac9
hex436642590

18092402064 has 135 divisors (see below), whose sum is σ = 55709782219. Its totient is φ = 5477165760.

The previous prime is 18092402051. The next prime is 18092402077. The reversal of 18092402064 is 46020429081.

The square root of 18092402064 is 134508.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (18092402051) and next prime (18092402077).

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17754547 + ... + 17755565.

Almost surely, 218092402064 is an apocalyptic number.

18092402064 is the 134508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18092402064

18092402064 is an abundant number, since it is smaller than the sum of its proper divisors (37617380155).

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

18092402064 is a wasteful number, since it uses less digits than its factorization.

18092402064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 18092402064 by its sum of digits (36), we get a square (651326474304 = 8070482).

18092402064 divided by its sum of digits (36) gives a square (502566724 = 224182).

The spelling of 18092402064 in words is "eighteen billion, ninety-two million, four hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1019 1089 1452 1584 1936 2038 2178 2904 3057 4076 4356 5808 6114 8152 8712 9171 11209 12228 16304 17424 18342 22418 24456 33627 36684 44836 48912 67254 73368 89672 100881 123299 134508 146736 179344 201762 246598 269016 369897 403524 493196 538032 739794 807048 986392 1038361 1109691 1479588 1614096 1972784 2076722 2219382 2959176 3115083 4153444 4438764 5918352 6230166 8306888 8877528 9345249 11421971 12460332 16613776 17755056 18690498 22843942 24920664 34265913 37380996 45687884 49841328 68531826 74761992 91375768 102797739 125641681 137063652 149523984 182751536 205595478 251283362 274127304 376925043 411190956 502566724 548254608 753850086 822381912 1005133448 1130775129 1507700172 1644763824 2010266896 2261550258 3015400344 4523100516 6030800688 9046201032 18092402064