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11700122640 = 2435439111049
BaseRepresentation
bin10101110010110000…
…11011010000010000
31010012101211210221120
422321120123100100
5142430212411030
65212554122240
7562640254503
oct127130332020
933171753846
1011700122640
114a64461348
122326420380
131145caa7bb
147cdc7b13a
15487288010
hex2b961b410

11700122640 has 80 divisors (see below), whose sum is σ = 36353328000. Its totient is φ = 3112897536.

The previous prime is 11700122627. The next prime is 11700122657. The reversal of 11700122640 is 4622100711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11700122640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49836 + ... + 160884.

It is an arithmetic number, because the mean of its divisors is an integer number (454416600).

Almost surely, 211700122640 is an apocalyptic number.

11700122640 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 11700122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176664000).

11700122640 is an abundant number, since it is smaller than the sum of its proper divisors (24653205360).

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

11700122640 is a wasteful number, since it uses less digits than its factorization.

11700122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111504 (or 111498 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 11700122640 in words is "eleven billion, seven hundred million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 439 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 17560 21072 26340 35120 52680 105360 111049 222098 333147 444196 555245 666294 888392 1110490 1332588 1665735 1776784 2220980 2665176 3331470 4441960 5330352 6662940 8883920 13325880 26651760 48750511 97501022 146251533 195002044 243752555 292503066 390004088 487505110 585006132 731257665 780008176 975010220 1170012264 1462515330 1950020440 2340024528 2925030660 3900040880 5850061320 11700122640