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16162800030 = 23251321062643
BaseRepresentation
bin11110000110110000…
…01100000110011110
31112201102011022110100
433003120030012132
5231100134100110
611231452521530
71111346350656
oct170330140636
945642138410
1016162800030
11694452a983
123170a802a6
1316a7717300
14ad482d366
15648e52bc0
hex3c360c19e

16162800030 has 72 divisors (see below), whose sum is σ = 45504541368. Its totient is φ = 3978531648.

The previous prime is 16162800011. The next prime is 16162800037. The reversal of 16162800030 is 3000826161.

16162800030 is a `hidden beast` number, since 1 + 6 + 1 + 628 + 0 + 0 + 0 + 30 = 666.

It is a super-2 number, since 2×161628000302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16162799967 and 16162800003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16162800037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 516112 + ... + 546531.

It is an arithmetic number, because the mean of its divisors is an integer number (632007519).

Almost surely, 216162800030 is an apocalyptic number.

16162800030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16162800030 is an abundant number, since it is smaller than the sum of its proper divisors (29341741338).

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

16162800030 is a wasteful number, since it uses less digits than its factorization.

16162800030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062682 (or 1062666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16162800030 in words is "sixteen billion, one hundred sixty-two million, eight hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 1062643 2125286 3187929 5313215 6375858 9563787 10626430 13814359 15939645 19127574 27628718 31879290 41443077 47818935 69071795 82886154 95637870 124329231 138143590 179586667 207215385 248658462 359173334 414430770 538760001 621646155 897933335 1077520002 1243292310 1616280003 1795866670 2693800005 3232560006 5387600010 8081400015 16162800030