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11443693872 = 24313103263677
BaseRepresentation
bin10101010100001100…
…01110100100110000
31002112112022212210210
422222012032210300
5141414041200442
65131314024120
7553404535662
oct125206164460
932475285723
1011443693872
114942737646
122274578040
131104b26bc0
147a7baa532
1546e9d419c
hex2aa18e930

11443693872 has 160 divisors (see below), whose sum is σ = 32315931648. Its totient is φ = 3468561408.

The previous prime is 11443693847. The next prime is 11443693883. The reversal of 11443693872 is 27839634411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16903198 + ... + 16903874.

Almost surely, 211443693872 is an apocalyptic number.

11443693872 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 11443693872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157965824).

11443693872 is an abundant number, since it is smaller than the sum of its proper divisors (20872237776).

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

11443693872 is a wasteful number, since it uses less digits than its factorization.

11443693872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 11443693872 in words is "eleven billion, four hundred forty-three million, six hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 263 309 312 412 526 618 624 677 789 824 1052 1236 1339 1354 1578 1648 2031 2104 2472 2678 2708 3156 3419 4017 4062 4208 4944 5356 5416 6312 6838 8034 8124 8801 10257 10712 10832 12624 13676 16068 16248 17602 20514 21424 26403 27089 27352 32136 32496 35204 41028 52806 54178 54704 64272 69731 70408 81267 82056 105612 108356 139462 140816 162534 164112 178051 209193 211224 216712 278924 325068 352157 356102 418386 422448 433424 534153 557848 650136 704314 712204 836772 906503 1056471 1068306 1115696 1300272 1408628 1424408 1673544 1813006 2112942 2136612 2314663 2719509 2817256 2848816 3347088 3626012 4225884 4273224 4629326 5439018 5634512 6943989 7252024 8451768 8546448 9258652 10878036 13887978 14504048 16903536 18339253 18517304 21756072 27775956 36678506 37034608 43512144 55017759 55551912 73357012 110035518 111103824 146714024 220071036 238410289 293428048 440142072 476820578 715230867 880284144 953641156 1430461734 1907282312 2860923468 3814564624 5721846936 11443693872