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7055834112 = 210323124697
BaseRepresentation
bin1101001001000111…
…10111110000000000
3200012201210111210100
412210203313300000
5103422243142422
63124051002400
7336564412635
oct64443676000
920181714710
107055834112
112aa091a668
12144ab99400
13885a54992
144ad13218c
152b46977ac
hex1a48f7c00

7055834112 has 132 divisors (see below), whose sum is σ = 21031631296. Its totient is φ = 2275983360.

The previous prime is 7055834101. The next prime is 7055834141. The reversal of 7055834112 is 2114385507.

7055834112 is a `hidden beast` number, since 70 + 5 + 583 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273348 + ... + 298044.

Almost surely, 27055834112 is an apocalyptic number.

7055834112 is a gapful number since it is divisible by the number (72) 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 7055834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10515815648).

7055834112 is an abundant number, since it is smaller than the sum of its proper divisors (13975797184).

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

7055834112 is a wasteful number, since it uses less digits than its factorization.

7055834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24754 (or 24733 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7055834112 is about 83999.0125656248. The cubic root of 7055834112 is about 1918.0037585422.

The spelling of 7055834112 in words is "seven billion, fifty-five million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 11904 15872 17856 23808 24697 31744 35712 47616 49394 71424 74091 95232 98788 142848 148182 197576 222273 285696 296364 395152 444546 592728 765607 790304 889092 1185456 1531214 1580608 1778184 2296821 2370912 3062428 3161216 3556368 4593642 4741824 6124856 6322432 6890463 7112736 9187284 9483648 12249712 12644864 13780926 14225472 18374568 18967296 24499424 25289728 27561852 28450944 36749136 37934592 48998848 55123704 56901888 73498272 75869184 97997696 110247408 113803776 146996544 195995392 220494816 227607552 293993088 391990784 440989632 587986176 783981568 881979264 1175972352 1763958528 2351944704 3527917056 7055834112