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11037196416 = 2731715111197
BaseRepresentation
bin10100100011101111…
…00100000010000000
31001111012102200010110
422101313210002000
5140101010241131
65023113231320
7540340423131
oct122167440200
931435380113
1011037196416
114754234034
122180402540
13106b84c06c
14769bd3c88
15448e8a646
hex291de4080

11037196416 has 128 divisors (see below), whose sum is σ = 31250482560. Its totient is φ = 3439411200.

The previous prime is 11037196409. The next prime is 11037196439. The reversal of 11037196416 is 61469173011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 980130 + ... + 991326.

It is an arithmetic number, because the mean of its divisors is an integer number (244144395).

Almost surely, 211037196416 is an apocalyptic number.

11037196416 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 11037196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625241280).

11037196416 is an abundant number, since it is smaller than the sum of its proper divisors (20213286144).

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

11037196416 is a wasteful number, since it uses less digits than its factorization.

11037196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 11037196416 in words is "eleven billion, thirty-seven million, one hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 151 192 204 272 302 384 408 453 544 604 816 906 1088 1208 1632 1812 2176 2416 2567 3264 3624 4832 5134 6528 7248 7701 9664 10268 11197 14496 15402 19328 20536 22394 28992 30804 33591 41072 44788 57984 61608 67182 82144 89576 123216 134364 164288 179152 190349 246432 268728 328576 358304 380698 492864 537456 571047 716608 761396 985728 1074912 1142094 1433216 1522792 1690747 2149824 2284188 3045584 3381494 4299648 4568376 5072241 6091168 6762988 9136752 10144482 12182336 13525976 18273504 20288964 24364672 27051952 28742699 36547008 40577928 54103904 57485398 73094016 81155856 86228097 108207808 114970796 162311712 172456194 216415616 229941592 324623424 344912388 459883184 649246848 689824776 919766368 1379649552 1839532736 2759299104 3679065472 5518598208 11037196416