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857841093120 = 29351110154369
BaseRepresentation
bin11000111101110110101…
…00000100101000000000
310001000020102100201020210
430132323110010220000
5103023324304434440
61454030423434120
7115656046660404
oct14367324045000
93030212321223
10857841093120
11300898a2a0a0
1211a3092b5940
1362b8136246b
142d73c1d7104
15174ab243a80
hexc7bb504a00

857841093120 has 160 divisors (see below), whose sum is σ = 2991721106880. Its totient is φ = 207961456640.

The previous prime is 857841093091. The next prime is 857841093139. The reversal of 857841093120 is 21390148758.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×8578410931202 (a number of 25 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 857841093120.

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, 4992705 + ... + 5161664.

It is an arithmetic number, because the mean of its divisors is an integer number (18698256918).

Almost surely, 2857841093120 is an apocalyptic number.

857841093120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

857841093120 is an abundant number, since it is smaller than the sum of its proper divisors (2133880013760).

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

857841093120 is a wasteful number, since it uses less digits than its factorization.

857841093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154406 (or 10154390 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

It can be divided in two parts, 8578410 and 93120, that added together give a triangular number (8671530 = T4164).

The spelling of 857841093120 in words is "eight hundred fifty-seven billion, eight hundred forty-one million, ninety-three thousand, one 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 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 10154369 20308738 30463107 40617476 50771845 60926214 81234952 101543690 111698059 121852428 152315535 162469904 203087380 223396118 243704856 304631070 324939808 335094177 406174760 446792236 487409712 558490295 609262140 649879616 670188354 812349520 893584472 974819424 1116980590 1218524280 1299759232 1340376708 1624699040 1675470885 1787168944 1949638848 2233961180 2437048560 2599518464 2680753416 3249398080 3350941770 3574337888 3899277696 4467922360 4874097120 5199036928 5361506832 6498796160 6701883540 7148675776 7798555392 8935844720 9748194240 10723013664 12997592320 13403767080 14297351552 15597110784 17871689440 19496388480 21446027328 25995184640 26807534160 28594703104 35743378880 38992776960 42892054656 53615068320 57189406208 71486757760 77985553920 85784109312 107230136640 142973515520 171568218624 214460273280 285947031040 428920546560 857841093120