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13396657680 = 2432572658067
BaseRepresentation
bin11000111101000000…
…01100011000010000
31021120122011201111200
430132200030120100
5204414021021210
610053200511200
7652660466010
oct143640143020
937518151450
1013396657680
11575507821a
12271a61b500
131356612ba3
149112ddc40
155361a50c0
hex31e80c610

13396657680 has 120 divisors (see below), whose sum is σ = 51417667392. Its totient is φ = 3062092032.

The previous prime is 13396657661. The next prime is 13396657711. The reversal of 13396657680 is 8675669331.

13396657680 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 66 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323994 + ... + 1334073.

Almost surely, 213396657680 is an apocalyptic number.

13396657680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13396657680 is an abundant number, since it is smaller than the sum of its proper divisors (38021009712).

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

13396657680 is a wasteful number, since it uses less digits than its factorization.

13396657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658093 (or 2658084 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13396657680 in words is "thirteen billion, three hundred ninety-six million, six hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2658067 5316134 7974201 10632268 13290335 15948402 18606469 21264536 23922603 26580670 31896804 37212938 39871005 42529072 47845206 53161340 55819407 63793608 74425876 79742010 93032345 95690412 106322680 111638814 119613015 127587216 148851752 159484020 167458221 186064690 191380824 212645360 223277628 239226030 279097035 297703504 318968040 334916442 372129380 382761648 446555256 478452060 558194070 637936080 669832884 744258760 837291105 893110512 956904120 1116388140 1339665768 1488517520 1674582210 1913808240 2232776280 2679331536 3349164420 4465552560 6698328840 13396657680