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3164142205650 = 23521011811153891
BaseRepresentation
bin101110000010110101100…
…100100111101011010010
3102012111012111210021101010
4232002311210213223102
5403320130401040100
610421330432351350
7444413251661436
oct56026544475322
912174174707333
103164142205650
11100a9a5871298
124312949a5556
1319c4b9cbb48a
14ad2069ba9c6
155748eb96750
hex2e0b5927ad2

3164142205650 has 96 divisors (see below), whose sum is σ = 7968556604736. Its totient is φ = 830800800000.

The previous prime is 3164142205603. The next prime is 3164142205703. The reversal of 3164142205650 is 565022414613.

3164142205650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3164142205599 and 3164142205608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165205 + ... + 3319095.

It is an arithmetic number, because the mean of its divisors is an integer number (83005797966).

Almost surely, 23164142205650 is an apocalyptic number.

3164142205650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164142205650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984278302368).

3164142205650 is an abundant number, since it is smaller than the sum of its proper divisors (4804414399086).

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

3164142205650 is a wasteful number, since it uses less digits than its factorization.

3164142205650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154188 (or 1154183 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 3164142205650 in words is "three trillion, one hundred sixty-four billion, one hundred forty-two million, two hundred five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 181 202 303 362 505 543 606 905 1010 1086 1515 1810 2525 2715 3030 4525 5050 5430 7575 9050 13575 15150 18281 27150 36562 54843 91405 109686 182810 274215 457025 548430 914050 1153891 1371075 2307782 2742150 3461673 5769455 6923346 11538910 17308365 28847275 34616730 57694550 86541825 116542991 173083650 208854271 233085982 349628973 417708542 582714955 626562813 699257946 1044271355 1165429910 1253125626 1748144865 2088542710 2913574775 3132814065 3496289730 5221356775 5827149550 6265628130 8740724325 10442713550 15664070325 17481448650 21094281371 31328140650 42188562742 63282844113 105471406855 126565688226 210942813710 316414220565 527357034275 632828441130 1054714068550 1582071102825 3164142205650