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42867817872 = 24311281288929
BaseRepresentation
bin100111111011000111…
…101111110110010000
311002122112100210001020
4213323013233312100
51200243130132442
631405422035440
73045206303565
oct477307576620
9132575323036
1042867817872
11171a8847060
128384418b80
134072266009
14210940686c
1511ad66a9ec
hex9fb1efd90

42867817872 has 80 divisors (see below), whose sum is σ = 121239650880. Its totient is φ = 12943974400.

The previous prime is 42867817849. The next prime is 42867817873. The reversal of 42867817872 is 27871876824.

It is not an unprimeable number, because it can be changed into a prime (42867817873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904 + ... + 292832.

It is an arithmetic number, because the mean of its divisors is an integer number (1515495636).

Almost surely, 242867817872 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 42867817872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60619825440).

42867817872 is an abundant number, since it is smaller than the sum of its proper divisors (78371833008).

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

42867817872 is a wasteful number, since it uses less digits than its factorization.

42867817872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289232 (or 289226 counting only the distinct ones).

The product of its digits is 16859136, while the sum is 60.

The spelling of 42867817872 in words is "forty-two billion, eight hundred sixty-seven million, eight hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 281 528 562 843 1124 1686 2248 3091 3372 4496 6182 6744 9273 12364 13488 18546 24728 37092 49456 74184 148368 288929 577858 866787 1155716 1733574 2311432 3178219 3467148 4622864 6356438 6934296 9534657 12712876 13868592 19069314 25425752 38138628 50851504 76277256 81189049 152554512 162378098 243567147 324756196 487134294 649512392 893079539 974268588 1299024784 1786159078 1948537176 2679238617 3572318156 3897074352 5358477234 7144636312 10716954468 14289272624 21433908936 42867817872