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42263515392 = 283723833299
BaseRepresentation
bin100111010111000110…
…100001000100000000
311001002102021000212220
4213113012201010000
51143023424443032
631225433451040
73024220645020
oct472706410400
9131072230786
1042263515392
1116a1871a71a
128235b70a80
133ca6cc1c97
14208d05da80
15117559d12c
hex9d71a1100

42263515392 has 144 divisors (see below), whose sum is σ = 128644454400. Its totient is φ = 12066564096.

The previous prime is 42263515387. The next prime is 42263515403. The reversal of 42263515392 is 29351536224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12809359 + ... + 12812657.

Almost surely, 242263515392 is an apocalyptic number.

42263515392 is a gapful number since it is divisible by the number (42) 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 42263515392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64322227200).

42263515392 is an abundant number, since it is smaller than the sum of its proper divisors (86380939008).

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

42263515392 is a wasteful number, since it uses less digits than its factorization.

42263515392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5694 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 42263515392 in words is "forty-two billion, two hundred sixty-three million, five hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2383 2688 3299 4766 5376 6598 7149 9532 9897 13196 14298 16681 19064 19794 23093 26392 28596 33362 38128 39588 46186 50043 52784 57192 66724 69279 76256 79176 92372 100086 105568 114384 133448 138558 152512 158352 184744 200172 211136 228768 266896 277116 305024 316704 369488 400344 422272 457536 533792 554232 610048 633408 738976 800688 844544 915072 1067584 1108464 1266816 1477952 1601376 1830144 2135168 2216928 2533632 2955904 3202752 4270336 4433856 5911808 6405504 7861517 8867712 12811008 15723034 17735424 23584551 31446068 47169102 55030619 62892136 94338204 110061238 125784272 165091857 188676408 220122476 251568544 330183714 377352816 440244952 503137088 660367428 754705632 880489904 1006274176 1320734856 1509411264 1760979808 2012548352 2641469712 3018822528 3521959616 5282939424 6037645056 7043919232 10565878848 14087838464 21131757696 42263515392