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16890452016 = 2436147912043
BaseRepresentation
bin11111011101011111…
…11101100000110000
31121121010100212022220
433232233331200300
5234042423431031
611432005001040
71135363321224
oct175657754060
947533325286
1016890452016
117188246659
1233346b3180
1317923b8a09
14b63324784
1568cc88596
hex3eebfd830

16890452016 has 80 divisors (see below), whose sum is σ = 44445250560. Its totient is φ = 5525832960.

The previous prime is 16890452003. The next prime is 16890452039. The reversal of 16890452016 is 61025409861.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396491 + ... + 1408533.

It is an arithmetic number, because the mean of its divisors is an integer number (555565632).

Almost surely, 216890452016 is an apocalyptic number.

16890452016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16890452016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222625280).

16890452016 is an abundant number, since it is smaller than the sum of its proper divisors (27554798544).

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

16890452016 is a wasteful number, since it uses less digits than its factorization.

16890452016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 16890452016 in words is "sixteen billion, eight hundred ninety million, four hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 479 488 732 958 976 1437 1464 1916 2874 2928 3832 5748 7664 11496 12043 22992 24086 29219 36129 48172 58438 72258 87657 96344 116876 144516 175314 192688 233752 289032 350628 467504 578064 701256 734623 1402512 1469246 2203869 2938492 4407738 5768597 5876984 8815476 11537194 11753968 17305791 17630952 23074388 34611582 35261904 46148776 69223164 92297552 138446328 276892656 351884417 703768834 1055653251 1407537668 2111306502 2815075336 4222613004 5630150672 8445226008 16890452016