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942250948320 = 253511216223329
BaseRepresentation
bin11011011011000101000…
…10000111011011100000
310100002010002101122100010
431231202202013123200
5110414212220321240
62000510351524520
7125034566624613
oct15554242073340
93302102348303
10942250948320
11333674106700
12132745b29740
136ab13c9ac46
14338688d417a
151979b946280
hexdb628876e0

942250948320 has 144 divisors (see below), whose sum is σ = 3262446769680. Its totient is φ = 228424458240.

The previous prime is 942250948279. The next prime is 942250948321. The reversal of 942250948320 is 23849052249.

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 942250948320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942250948321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8053585 + ... + 8169744.

It is an arithmetic number, because the mean of its divisors is an integer number (22655880345).

Almost surely, 2942250948320 is an apocalyptic number.

It is an amenable number.

942250948320 is an abundant number, since it is smaller than the sum of its proper divisors (2320195821360).

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

942250948320 is a wasteful number, since it uses less digits than its factorization.

942250948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223369 (or 16223350 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 942250948320 in words is "nine hundred forty-two billion, two hundred fifty million, nine hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 16223329 32446658 48669987 64893316 81116645 97339974 129786632 162233290 178456619 194679948 243349935 259573264 324466580 356913238 389359896 486699870 519146528 535369857 648933160 713826476 778719792 892283095 973399740 1070739714 1297866320 1427652952 1557439584 1784566190 1946799480 1963022809 2141479428 2595732640 2676849285 2855305904 3569132380 3893598960 3926045618 4282958856 5353698570 5710611808 5889068427 7138264760 7787197920 7852091236 8565917712 9815114045 10707397140 11778136854 14276529520 15704182472 17131835424 19630228090 21414794280 23556273708 28553059040 29445342135 31408364944 39260456180 42829588560 47112547416 58890684270 62816729888 78520912360 85659177120 94225094832 117781368540 157041824720 188450189664 235562737080 314083649440 471125474160 942250948320