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42673780368 = 2433821120319
BaseRepresentation
bin100111101111100011…
…100011011010010000
311002011000020122122000
4213233203203122100
51144343441432433
631334251114000
73040332101562
oct475743433220
9132130218560
1042673780368
111710926688a
12832b442900
134040cb891b
1420cb737332
15119b5dd113
hex9ef8e3690

42673780368 has 80 divisors (see below), whose sum is σ = 122639769600. Its totient is φ = 14207149440.

The previous prime is 42673780361. The next prime is 42673780397. The reversal of 42673780368 is 86308737624.

42673780368 is a `hidden beast` number, since 4 + 267 + 378 + 0 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42673780361) 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 15 ways as a sum of consecutive naturals, for example, 294513 + ... + 414831.

It is an arithmetic number, because the mean of its divisors is an integer number (1532997120).

Almost surely, 242673780368 is an apocalyptic number.

42673780368 is a gapful number since it is divisible by the number (48) 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 42673780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61319884800).

42673780368 is an abundant number, since it is smaller than the sum of its proper divisors (79965989232).

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

42673780368 is a wasteful number, since it uses less digits than its factorization.

42673780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121157 (or 121145 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 42673780368 in words is "forty-two billion, six hundred seventy-three million, seven hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 821 1642 2463 3284 4926 6568 7389 9852 13136 14778 19704 22167 29556 39408 44334 59112 88668 118224 120319 177336 240638 354672 360957 481276 721914 962552 1082871 1443828 1925104 2165742 2887656 3248613 4331484 5775312 6497226 8662968 12994452 17325936 25988904 51977808 98781899 197563798 296345697 395127596 592691394 790255192 889037091 1185382788 1580510384 1778074182 2370765576 2667111273 3556148364 4741531152 5334222546 7112296728 10668445092 14224593456 21336890184 42673780368