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215807426688 = 2737202939569
BaseRepresentation
bin1100100011111100100…
…0000000000010000000
3202122000222202011101010
43020333020000002000
512013433200123223
6243050210040520
721406623601050
oct3107710000200
9678028664333
10215807426688
11835837368a7
12359a9579140
131747321b5a9
14a633645560
1559310cb393
hex323f200080

215807426688 has 128 divisors (see below), whose sum is σ = 655469136000. Its totient is φ = 61627318272.

The previous prime is 215807426663. The next prime is 215807426689. The reversal of 215807426688 is 886624708512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (215807426689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5434168 + ... + 5473736.

It is an arithmetic number, because the mean of its divisors is an integer number (5120852625).

Almost surely, 2215807426688 is an apocalyptic number.

215807426688 is a gapful number since it is divisible by the number (28) 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 215807426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327734568000).

215807426688 is an abundant number, since it is smaller than the sum of its proper divisors (439661709312).

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

215807426688 is a wasteful number, since it uses less digits than its factorization.

215807426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41622 (or 41610 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 215807426688 in words is "two hundred fifteen billion, eight hundred seven million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2029 2688 4058 6087 8116 12174 14203 16232 24348 28406 32464 39569 42609 48696 56812 64928 79138 85218 97392 113624 118707 129856 158276 170436 194784 227248 237414 259712 276983 316552 340872 389568 454496 474828 553966 633104 681744 779136 830949 908992 949656 1107932 1266208 1363488 1661898 1817984 1899312 2215864 2532416 2726976 3323796 3798624 4431728 5064832 5453952 6647592 7597248 8863456 13295184 15194496 17726912 26590368 35453824 53180736 80285501 106361472 160571002 240856503 321142004 481713006 561998507 642284008 963426012 1123997014 1284568016 1685995521 1926852024 2247994028 2569136032 3371991042 3853704048 4495988056 5138272064 6743982084 7707408096 8991976112 10276544128 13487964168 15414816192 17983952224 26975928336 30829632384 35967904448 53951856672 71935808896 107903713344 215807426688