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16914901140 = 2234510441297
BaseRepresentation
bin11111100000011010…
…01110100010010100
31121122211101000020000
433300031032202110
5234120203314030
611434241011300
71136111200404
oct176015164224
947584330200
1016914901140
1171a0025645
123340923b30
131797499257
14b6668a804
1568eeb7860
hex3f034e894

16914901140 has 60 divisors (see below), whose sum is σ = 53062676436. Its totient is φ = 4510639872.

The previous prime is 16914901139. The next prime is 16914901153. The reversal of 16914901140 is 4110941961.

16914901140 is a `hidden beast` number, since 169 + 1 + 490 + 1 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13345794576 + 3569106564 = 115524^2 + 59742^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×169149011402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16914901095 and 16914901104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5219029 + ... + 5222268.

Almost surely, 216914901140 is an apocalyptic number.

16914901140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16914901140 is an abundant number, since it is smaller than the sum of its proper divisors (36147775296).

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

16914901140 is a wasteful number, since it uses less digits than its factorization.

16914901140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10441318 (or 10441307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 16914901140 in words is "sixteen billion, nine hundred fourteen million, nine hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 10441297 20882594 31323891 41765188 52206485 62647782 93971673 104412970 125295564 156619455 187943346 208825940 281915019 313238910 375886692 469858365 563830038 626477820 845745057 939716730 1127660076 1409575095 1691490114 1879433460 2819150190 3382980228 4228725285 5638300380 8457450570 16914901140