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13657853000 = 2353112634721
BaseRepresentation
bin11001011100001001…
…00100110001001000
31022020211122211010102
430232010210301020
5210432402244000
610135131104532
7662311556261
oct145604446110
938224584112
1013657853000
115879558120
122791ba2148
13139877522c
14937c91968
1554e09b3d5
hex32e124c48

13657853000 has 128 divisors (see below), whose sum is σ = 35004752640. Its totient is φ = 4946560000.

The previous prime is 13657852997. The next prime is 13657853039. The reversal of 13657853000 is 35875631.

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 31 ways as a sum of consecutive naturals, for example, 2890640 + ... + 2895360.

It is an arithmetic number, because the mean of its divisors is an integer number (273474630).

Almost surely, 213657853000 is an apocalyptic number.

13657853000 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 13657853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502376320).

13657853000 is an abundant number, since it is smaller than the sum of its proper divisors (21346899640).

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

13657853000 is a wasteful number, since it uses less digits than its factorization.

13657853000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 13657853000 in words is "thirteen billion, six hundred fifty-seven million, eight hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 263 275 440 500 526 550 1000 1052 1100 1315 1375 2104 2200 2630 2750 2893 4721 5260 5500 5786 6575 9442 10520 11000 11572 13150 14465 18884 23144 23605 26300 28930 32875 37768 47210 51931 52600 57860 65750 72325 94420 103862 115720 118025 131500 144650 188840 207724 236050 259655 263000 289300 361625 415448 472100 519310 578600 590125 723250 944200 1038620 1180250 1241623 1298275 1446500 2077240 2360500 2483246 2596550 2893000 4721000 4966492 5193100 6208115 6491375 9932984 10386200 12416230 12982750 13657853 24832460 25965500 27315706 31040575 49664920 51931000 54631412 62081150 68289265 109262824 124162300 136578530 155202875 248324600 273157060 310405750 341446325 546314120 620811500 682892650 1241623000 1365785300 1707231625 2731570600 3414463250 6828926500 13657853000