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16107281120 = 255718677703
BaseRepresentation
bin11110000000001000…
…11001101011100000
31112120112200122211102
433000010121223200
5230441430443440
611222150533532
71110103426160
oct170004315340
945515618742
1016107281120
11691615a787
1231563672a8
131699078b98
14acb2da5a0
15644137b15
hex3c0119ae0

16107281120 has 96 divisors (see below), whose sum is σ = 43518601728. Its totient is φ = 5518821888.

The previous prime is 16107281107. The next prime is 16107281153. The reversal of 16107281120 is 2118270161.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2087189 + ... + 2094891.

It is an arithmetic number, because the mean of its divisors is an integer number (453318768).

Almost surely, 216107281120 is an apocalyptic number.

16107281120 is a gapful number since it is divisible by the number (10) 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 16107281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759300864).

16107281120 is an abundant number, since it is smaller than the sum of its proper divisors (27411320608).

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

16107281120 is a wasteful number, since it uses less digits than its factorization.

16107281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 16107281120 in words is "sixteen billion, one hundred seven million, two hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1867 3734 7468 7703 9335 13069 14936 15406 18670 26138 29872 30812 37340 38515 52276 53921 59744 61624 65345 74680 77030 104552 107842 123248 130690 149360 154060 209104 215684 246496 261380 269605 298720 308120 418208 431368 522760 539210 616240 862736 1045520 1078420 1232480 1725472 2091040 2156840 4313680 8627360 14381501 28763002 57526004 71907505 100670507 115052008 143815010 201341014 230104016 287630020 402682028 460208032 503352535 575260040 805364056 1006705070 1150520080 1610728112 2013410140 2301040160 3221456224 4026820280 8053640560 16107281120