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12160382438640 = 2435187547270163
BaseRepresentation
bin1011000011110100111101…
…0001101000110011110000
31121001112001221221010222110
42300331033101220303300
53043213430401014030
641510222542205320
72363362420156122
oct260751721506360
947045057833873
1012160382438640
113969209958857
12144491b583840
136a2946c5c657
143007cc205212
151614bd2531b0
hexb0f4f468cf0

12160382438640 has 80 divisors (see below), whose sum is σ = 37697526096768. Its totient is φ = 3242739356928.

The previous prime is 12160382438639. The next prime is 12160382438761. The reversal of 12160382438640 is 4683428306121.

12160382438640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×121603824386402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12160382438640.

It is a congruent number.

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, 44876199 + ... + 45146361.

Almost surely, 212160382438640 is an apocalyptic number.

12160382438640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12160382438640 is an abundant number, since it is smaller than the sum of its proper divisors (25537143658128).

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

12160382438640 is a wasteful number, since it uses less digits than its factorization.

12160382438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457726 (or 457720 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 12160382438640 in words is "twelve trillion, one hundred sixty billion, three hundred eighty-two million, four hundred thirty-eight 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 187547 270163 375094 540326 562641 750188 810489 937735 1080652 1125282 1350815 1500376 1620978 1875470 2161304 2250564 2701630 2813205 3000752 3241956 3750940 4052445 4322608 4501128 5403260 5626410 6483912 7501880 8104890 9002256 10806520 11252820 12967824 15003760 16209780 21613040 22505640 32419560 45011280 64839120 50668260161 101336520322 152004780483 202673040644 253341300805 304009560966 405346081288 506682601610 608019121932 760023902415 810692162576 1013365203220 1216038243864 1520047804830 2026730406440 2432076487728 3040095609660 4053460812880 6080191219320 12160382438640