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7102000056 = 2333143733041
BaseRepresentation
bin1101001110100111…
…11110101110111000
3200022221122222120010
412213103332232320
5104021103000211
63132420301520
7340665001344
oct64723765670
920287588503
107102000056
113014991838
1214625418a0
13892499bc8
144b530c624
152b87664a6
hex1a74febb8

7102000056 has 128 divisors (see below), whose sum is σ = 19017123840. Its totient is φ = 2206310400.

The previous prime is 7102000027. The next prime is 7102000069. The reversal of 7102000056 is 6500002017.

It is a junction number, because it is equal to n+sod(n) for n = 7101999996 and 7102000041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333896 + ... + 2336936.

It is an arithmetic number, because the mean of its divisors is an integer number (148571280).

Almost surely, 27102000056 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 7102000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508561920).

7102000056 is an abundant number, since it is smaller than the sum of its proper divisors (11915123784).

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

7102000056 is a wasteful number, since it uses less digits than its factorization.

7102000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 7102000056 is about 84273.3650449536. The cubic root of 7102000056 is about 1922.1778001181.

The spelling of 7102000056 in words is "seven billion, one hundred two million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 31 43 62 73 86 93 124 129 146 172 186 219 248 258 292 344 372 438 516 584 744 876 1032 1333 1752 2263 2666 3041 3139 3999 4526 5332 6082 6278 6789 7998 9052 9123 9417 10664 12164 12556 13578 15996 18104 18246 18834 24328 25112 27156 31992 36492 37668 54312 72984 75336 94271 97309 130763 188542 194618 221993 261526 282813 291927 377084 389236 392289 443986 523052 565626 583854 665979 754168 778472 784578 887972 1046104 1131252 1167708 1331958 1569156 1775944 2262504 2335416 2663916 3138312 4053653 5327832 6881783 8107306 9545699 12160959 13763566 16214612 19091398 20645349 24321918 27527132 28637097 32429224 38182796 41290698 48643836 55054264 57274194 76365592 82581396 97287672 114548388 165162792 229096776 295916669 591833338 887750007 1183666676 1775500014 2367333352 3551000028 7102000056