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215542406050120 = 23589283214399833
BaseRepresentation
bin110001000000100011100000…
…100010111111000101001000
31001021011122121212122200211101
4301000203200202333011020
5211222421321422100440
62042230451523111144
763254265520050052
oct6100434042770510
91037148555580741
10215542406050120
1162751026044436
122021168b8124b4
13933673c005376
143b324456828d2
1519dbb4518c69a
hexc408e08bf148

215542406050120 has 128 divisors (see below), whose sum is σ = 492387038438400. Its totient is φ = 84906512216064.

The previous prime is 215542406050093. The next prime is 215542406050157. The reversal of 215542406050120 is 21050604245512.

It is a self number, because there is not a number n which added to its sum of digits gives 215542406050120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158979724 + ... + 2159079556.

It is an arithmetic number, because the mean of its divisors is an integer number (3846773737800).

Almost surely, 2215542406050120 is an apocalyptic number.

215542406050120 is a gapful number since it is divisible by the number (20) 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 215542406050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246193519219200).

215542406050120 is an abundant number, since it is smaller than the sum of its proper divisors (276844632388280).

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

215542406050120 is a wasteful number, since it uses less digits than its factorization.

215542406050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102359 (or 102355 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 215542406050120 in words is "two hundred fifteen trillion, five hundred forty-two billion, four hundred six million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 283 356 445 566 712 890 1132 1415 1780 2143 2264 2830 3560 4286 5660 8572 10715 11320 17144 21430 25187 42860 50374 85720 99833 100748 125935 190727 199666 201496 251870 381454 399332 499165 503740 606469 762908 798664 953635 998330 1007480 1212938 1525816 1907270 1996660 2425876 3032345 3814540 3993320 4851752 6064690 7629080 8885137 12129380 17770274 24258760 28252739 35540548 44425685 53975741 56505478 71081096 88851370 107951482 113010956 141263695 177702740 213942119 215902964 226021912 269878705 282527390 355405480 427884238 431805928 539757410 565054780 855768476 1069710595 1079514820 1130109560 1711536952 2139421190 2159029640 2514493771 4278842380 5028987542 8557684760 10057975084 12572468855 19040848591 20115950168 25144937710 38081697182 50289875420 60545619677 76163394364 95204242955 100579750840 121091239354 152326788728 190408485910 242182478708 302728098385 380816971820 484364957416 605456196770 761633943640 1210912393540 2421824787080 5388560151253 10777120302506 21554240605012 26942800756265 43108481210024 53885601512530 107771203025060 215542406050120