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10560000096 = 2532374432237
BaseRepresentation
bin10011101010110110…
…01101000001100000
31000020221111120211200
421311123031001200
5133111330000341
64503505241200
7522454343202
oct116533150140
930227446750
1010560000096
114529932408
122068633200
13cc3a1c589
14722696772
1541c128db6
hex2756cd060

10560000096 has 144 divisors (see below), whose sum is σ = 30925059984. Its totient is φ = 3415606272.

The previous prime is 10560000067. The next prime is 10560000149. The reversal of 10560000096 is 69000006501.

10560000096 is a `hidden beast` number, since 10 + 560 + 0 + 0 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105600000962 (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 23 ways as a sum of consecutive naturals, for example, 4719490 + ... + 4721726.

It is an arithmetic number, because the mean of its divisors is an integer number (214757361).

Almost surely, 210560000096 is an apocalyptic number.

10560000096 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 10560000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462529992).

10560000096 is an abundant number, since it is smaller than the sum of its proper divisors (20365059888).

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

10560000096 is a wasteful number, since it uses less digits than its factorization.

10560000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 10560000096 its reverse (69000006501), we get a palindrome (79560006597).

The spelling of 10560000096 in words is "ten billion, five hundred sixty million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 443 444 592 666 886 888 1184 1329 1332 1772 1776 2237 2658 2664 3544 3552 3987 4474 5316 5328 6711 7088 7974 8948 10632 10656 13422 14176 15948 16391 17896 20133 21264 26844 31896 32782 35792 40266 42528 49173 53688 63792 65564 71584 80532 82769 98346 107376 127584 131128 147519 161064 165538 196692 214752 248307 262256 295038 322128 331076 393384 496614 524512 590076 644256 662152 744921 786768 990991 993228 1180152 1324304 1489842 1573536 1981982 1986456 2360304 2648608 2972973 2979684 3963964 3972912 4720608 5945946 5959368 7927928 7945824 8918919 11891892 11918736 15855856 17837838 23783784 23837472 31711712 35675676 36666667 47567568 71351352 73333334 95135136 110000001 142702704 146666668 220000002 285405408 293333336 330000003 440000004 586666672 660000006 880000008 1173333344 1320000012 1760000016 2640000024 3520000032 5280000048 10560000096