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57218301357150 = 23521494915214059
BaseRepresentation
bin11010000001010001011001…
…00001101110110001011110
321111121000102210122012100010
431000220230201232301132
524444431040121412100
6321405420314344050
715023612563541613
oct1500505441566136
9244530383565303
1057218301357150
111726016649008a
12650135942b026
1325c087cb5278b
14101b54839650a
156935a5367750
hex340a2c86ec5e

57218301357150 has 96 divisors (see below), whose sum is σ = 143144717616000. Its totient is φ = 15124939446400.

The previous prime is 57218301357143. The next prime is 57218301357197. The reversal of 57218301357150 is 5175310381275.

It is a happy number.

It is a super-2 number, since 2×572183013571502 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57218301357150.

It is a congruent number.

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, 8366821 + ... + 13580879.

It is an arithmetic number, because the mean of its divisors is an integer number (1491090808500).

Almost surely, 257218301357150 is an apocalyptic number.

57218301357150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57218301357150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572358808000).

57218301357150 is an abundant number, since it is smaller than the sum of its proper divisors (85926416258850).

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

57218301357150 is a wasteful number, since it uses less digits than its factorization.

57218301357150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214714 (or 5214709 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 57218301357150 in words is "fifty-seven trillion, two hundred eighteen billion, three hundred one million, three hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 491 745 894 982 1473 1490 2235 2455 2946 3725 4470 4910 7365 7450 11175 12275 14730 22350 24550 36825 73159 73650 146318 219477 365795 438954 731590 1097385 1828975 2194770 3657950 5214059 5486925 10428118 10973850 15642177 26070295 31284354 52140590 78210885 130351475 156421770 260702950 391054425 776894791 782108850 1553789582 2330684373 2560102969 3884473955 4661368746 5120205938 7680308907 7768947910 11653421865 12800514845 15360617814 19422369775 23306843730 25601029690 38401544535 38844739550 58267109325 64002574225 76803089070 116534218650 128005148450 192007722675 381455342381 384015445350 762910684762 1144366027143 1907276711905 2288732054286 3814553423810 5721830135715 9536383559525 11443660271430 19072767119050 28609150678575 57218301357150