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11392942656 = 263796911087
BaseRepresentation
bin10101001110001001…
…01000001001000000
31002101222211110020010
422213010220021000
5141313043131111
65122302144520
7552220262154
oct124704501100
932358743203
1011392942656
114917023497
12225b582140
1310c74678b4
147a1159064
1546a30baa6
hex2a7128240

11392942656 has 112 divisors (see below), whose sum is σ = 30597693440. Its totient is φ = 3740705280.

The previous prime is 11392942619. The next prime is 11392942787. The reversal of 11392942656 is 65624929311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10480545 + ... + 10481631.

Almost surely, 211392942656 is an apocalyptic number.

11392942656 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 11392942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15298846720).

11392942656 is an abundant number, since it is smaller than the sum of its proper divisors (19204750784).

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

11392942656 is a wasteful number, since it uses less digits than its factorization.

11392942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1862 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The spelling of 11392942656 in words is "eleven billion, three hundred ninety-two million, nine hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 691 948 1087 1264 1382 1896 2073 2174 2528 2764 3261 3792 4146 4348 5056 5528 6522 7584 8292 8696 11056 13044 15168 16584 17392 22112 26088 33168 34784 44224 52176 54589 66336 69568 85873 104352 109178 132672 163767 171746 208704 218356 257619 327534 343492 436712 515238 655068 686984 751117 873424 1030476 1310136 1373968 1502234 1746848 2060952 2253351 2620272 2747936 3004468 3493696 4121904 4506702 5240544 5495872 6008936 8243808 9013404 10481088 12017872 16487616 18026808 24035744 36053616 48071488 59338243 72107232 118676486 144214464 178014729 237352972 356029458 474705944 712058916 949411888 1424117832 1898823776 2848235664 3797647552 5696471328 11392942656