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42782833152 = 29333199833
BaseRepresentation
bin100111110110000011…
…100011101000000000
311002102121110002221000
4213312003203220000
51200104401130102
631353144332000
73043125036663
oct476603435000
9132377402830
1042782833152
1117164880854
12835ba74000
13405a77bab7
1420dc0036da
1511a5e8001c
hex9f60e3a00

42782833152 has 160 divisors (see below), whose sum is σ = 130726632960. Its totient is φ = 13800775680.

The previous prime is 42782833133. The next prime is 42782833169. The reversal of 42782833152 is 25133828724.

It is a junction number, because it is equal to n+sod(n) for n = 42782833098 and 42782833107.

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, 378628 + ... + 478460.

It is an arithmetic number, because the mean of its divisors is an integer number (817041456).

Almost surely, 242782833152 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 42782833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65363316480).

42782833152 is an abundant number, since it is smaller than the sum of its proper divisors (87943799808).

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

42782833152 is an equidigital number, since it uses as much as digits as its factorization.

42782833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99891 (or 99869 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 42782833152 in words is "forty-two billion, seven hundred eighty-two million, eight hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 35712 47616 53568 71424 99833 107136 142848 199666 214272 299499 399332 428544 598998 798664 898497 1197996 1597328 1796994 2395992 2695491 3094823 3194656 3593988 4791984 5390982 6189646 6389312 7187976 9284469 9583968 10781964 12379292 12778624 14375952 18568938 19167936 21563928 24758584 25557248 27853407 28751904 37137876 38335872 43127856 49517168 51114496 55706814 57503808 74275752 76671744 83560221 86255712 99034336 111413628 115007616 148551504 153343488 167120442 172511424 198068672 222827256 230015232 297103008 334240884 345022848 396137344 445654512 460030464 594206016 668481768 690045696 792274688 891309024 1188412032 1336963536 1380091392 1584549376 1782618048 2376824064 2673927072 3565236096 4753648128 5347854144 7130472192 10695708288 14260944384 21391416576 42782833152