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863426332416 = 28331259113997
BaseRepresentation
bin11001001000010000011…
…10000100011100000000
310001112122122222021012110
430210020032010130000
5103121244120114131
61500352542455320
7116244336506034
oct14441016043400
93045578867173
10863426332416
113031a472303a
1211b407894540
136356151c19b
142db0bcbc1c4
15176d674e646
hexc908384700

863426332416 has 144 divisors (see below), whose sum is σ = 2373186428928. Its totient is φ = 278397235200.

The previous prime is 863426332333. The next prime is 863426332423. The reversal of 863426332416 is 614233624368.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 61679530 + ... + 61693526.

It is an arithmetic number, because the mean of its divisors is an integer number (16480461312).

Almost surely, 2863426332416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863426332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186593214464).

863426332416 is an abundant number, since it is smaller than the sum of its proper divisors (1509760096512).

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

863426332416 is a wasteful number, since it uses less digits than its factorization.

863426332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16638 (or 16624 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 863426332416 in words is "eight hundred sixty-three billion, four hundred twenty-six million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2591 2976 3968 5182 5952 7773 7936 10364 11904 13997 15546 20728 23808 27994 31092 41456 41991 55988 62184 80321 82912 83982 111976 124368 160642 165824 167964 223952 240963 248736 321284 331648 335928 433907 447904 481926 497472 642568 663296 671856 867814 895808 963852 994944 1285136 1301721 1343712 1735628 1791616 1927704 1989888 2570272 2603442 2687424 3471256 3583232 3855408 5140544 5206884 5374848 6942512 7710816 10281088 10413768 10749696 13885024 15421632 20562176 20827536 27770048 30843264 36266227 41655072 55540096 61686528 72532454 83310144 108798681 111080192 145064908 166620288 217597362 290129816 333240576 435194724 580259632 870389448 1124253037 1160519264 1740778896 2248506074 2321038528 3372759111 3481557792 4497012148 4642077056 6745518222 6963115584 8994024296 9284154112 13491036444 13926231168 17988048592 26982072888 27852462336 35976097184 53964145776 71952194368 107928291552 143904388736 215856583104 287808777472 431713166208 863426332416