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10712437107648 = 2632831097179719
BaseRepresentation
bin1001101111100010111100…
…0000100010101111000000
31101221002200011100011212220
42123320233000202233000
52401003032344421043
634441120424451040
72153643115010013
oct233705700425700
941832604304786
1010712437107648
113460134524781
121250185619a80
135c9242191753
142906b011537a
151389c5d0e483
hex9be2f022bc0

10712437107648 has 112 divisors (see below), whose sum is σ = 28469563096320. Its totient is φ = 3554931308544.

The previous prime is 10712437107601. The next prime is 10712437107649. The reversal of 10712437107648 is 84670173421701.

It is a super-2 number, since 2×107124371076482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10712437107648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712437107649) 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, 59516733 + ... + 59696451.

Almost surely, 210712437107648 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 10712437107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234781548160).

10712437107648 is an abundant number, since it is smaller than the sum of its proper divisors (17757125988672).

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

10712437107648 is a wasteful number, since it uses less digits than its factorization.

10712437107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181114 (or 181104 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 10712437107648 in words is "ten trillion, seven hundred twelve billion, four hundred thirty-seven million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1097 1132 1698 2194 2264 3291 3396 4388 4528 6582 6792 8776 9056 13164 13584 17552 18112 26328 27168 35104 52656 54336 70208 105312 179719 210624 310451 359438 539157 620902 718876 931353 1078314 1241804 1437752 1862706 2156628 2483608 2875504 3725412 4313256 4967216 5751008 7450824 8626512 9934432 11502016 14901648 17253024 19868864 29803296 34506048 50860477 59606592 101720954 152581431 197151743 203441908 305162862 394303486 406883816 591455229 610325724 788606972 813767632 1182910458 1220651448 1577213944 1627535264 2365820916 2441302896 3154427888 3255070528 4731641832 4882605792 6308855776 9463283664 9765211584 12617711552 18926567328 37853134656 55793943269 111587886538 167381829807 223175773076 334763659614 446351546152 669527319228 892703092304 1339054638456 1785406184608 2678109276912 3570812369216 5356218553824 10712437107648