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10610601056 = 25111011631831
BaseRepresentation
bin10011110000111000…
…01110110001100000
31000101110201101022022
421320130032301200
5133212303213211
64512514001012
7523640422646
oct117034166140
930343641268
1010610601056
114555453690
122081576168
131001358383
147292a9196
154217c1bdb
hex27870ec60

10610601056 has 96 divisors (see below), whose sum is σ = 23168146176. Its totient is φ = 4743360000.

The previous prime is 10610601049. The next prime is 10610601083. The reversal of 10610601056 is 65010601601.

It is a super-2 number, since 2×106106010562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5794061 + ... + 5795891.

It is an arithmetic number, because the mean of its divisors is an integer number (241334856).

Almost surely, 210610601056 is an apocalyptic number.

10610601056 is a gapful number since it is divisible by the number (16) 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 10610601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584073088).

10610601056 is an abundant number, since it is smaller than the sum of its proper divisors (12557545120).

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

10610601056 is a wasteful number, since it uses less digits than its factorization.

10610601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10610601056 in words is "ten billion, six hundred ten million, six hundred one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 163 176 202 326 352 404 652 808 1111 1304 1616 1793 1831 2222 2608 3232 3586 3662 4444 5216 7172 7324 8888 14344 14648 16463 17776 20141 28688 29296 32926 35552 40282 57376 58592 65852 80564 131704 161128 181093 184931 263408 298453 322256 362186 369862 526816 596906 644512 724372 739724 1193812 1448744 1479448 2034241 2387624 2897488 2958896 3282983 4068482 4775248 5794976 5917792 6565966 8136964 9550496 13131932 16273928 26263864 30143753 32547856 52527728 60287506 65095712 105055456 120575012 241150024 331581283 482300048 663162566 964600096 1326325132 2652650264 5305300528 10610601056