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11119758672 = 24311211316943
BaseRepresentation
bin10100101101100101…
…00000110101010000
31001200221210021020210
422112302200311100
5140233124234142
65035223004120
7542362250331
oct122662406520
931627707223
1011119758672
1147968a5300
1221a3b99640
131082998779
14776b66288
1545134849c
hex296ca0d50

11119758672 has 120 divisors (see below), whose sum is σ = 31856211072. Its totient is φ = 3339607040.

The previous prime is 11119758659. The next prime is 11119758691. The reversal of 11119758672 is 27685791111.

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

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, 647833 + ... + 664775.

Almost surely, 211119758672 is an apocalyptic number.

11119758672 is a gapful number since it is divisible by the number (12) 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 11119758672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928105536).

11119758672 is an abundant number, since it is smaller than the sum of its proper divisors (20736452400).

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

11119758672 is a wasteful number, since it uses less digits than its factorization.

11119758672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17089 (or 17072 counting only the distinct ones).

The product of its digits is 211680, while the sum is 48.

The spelling of 11119758672 in words is "eleven billion, one hundred nineteen million, seven hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 113 121 132 176 226 242 264 339 363 452 484 528 678 726 904 968 1243 1356 1452 1808 1936 2486 2712 2904 3729 4972 5424 5808 7458 9944 13673 14916 16943 19888 27346 29832 33886 41019 50829 54692 59664 67772 82038 101658 109384 135544 164076 186373 203316 218768 271088 328152 372746 406632 559119 656304 745492 813264 1118238 1490984 1914559 2050103 2236476 2981968 3829118 4100206 4472952 5743677 6150309 7658236 8200412 8945904 11487354 12300618 15316472 16400824 21060149 22974708 24601236 30632944 32801648 42120298 45949416 49202472 63180447 84240596 91898832 98404944 126360894 168481192 231661639 252721788 336962384 463323278 505443576 694984917 926646556 1010887152 1389969834 1853293112 2779939668 3706586224 5559879336 11119758672