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12772383662412 = 22331121083190239
BaseRepresentation
bin1011100111011100110101…
…1001000010000101001100
31200020000202101012112112000
42321313031121002011030
53133230320204144122
643055315124312300
72455526400555543
oct271671531020514
950200671175460
1012772383662412
114084812669400
121523459542690
1371857a08c6aa
1432228830515a
1517238b9d40ac
hexb9dcd64214c

12772383662412 has 144 divisors (see below), whose sum is σ = 36401343283200. Its totient is φ = 3870019058400.

The previous prime is 12772383662329. The next prime is 12772383662443. The reversal of 12772383662412 is 21426638327721.

12772383662412 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 2 + 3 + 8 + 3 + 6 + 624 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141494389 + ... + 141584627.

Almost surely, 212772383662412 is an apocalyptic number.

12772383662412 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 12772383662412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200671641600).

12772383662412 is an abundant number, since it is smaller than the sum of its proper divisors (23628959620788).

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

12772383662412 is a wasteful number, since it uses less digits than its factorization.

12772383662412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101105 (or 101086 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 12772383662412 in words is "twelve trillion, seven hundred seventy-two billion, three hundred eighty-three million, six hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 10831 13068 21662 32493 43324 64986 90239 97479 119141 129972 180478 194958 238282 270717 292437 357423 360956 389916 476564 541434 584874 714846 812151 992629 1072269 1082868 1169748 1310551 1429692 1624302 1985258 2144538 2436453 2621102 2977887 3216807 3248604 3931653 3970516 4289076 4872906 5242204 5955774 6433614 7863306 8933661 9745812 10918919 11794959 11911548 12867228 15726612 17867322 21837838 23589918 26800983 32756757 35384877 35734644 43675676 47179836 53601966 65513514 70769754 98270271 107203932 131027028 141539508 196540542 294810813 393081084 589621626 977378609 1179243252 1954757218 2932135827 3909514436 5864271654 8796407481 10751164699 11728543308 17592814962 21502329398 26389222443 32253494097 35185629924 43004658796 52778444886 64506988194 96760482291 105556889772 118262811689 129013976388 193520964582 236525623378 290281446873 354788435067 387041929164 473051246756 580562893746 709576870134 1064365305201 1161125787492 1419153740268 2128730610402 3193095915603 4257461220804 6386191831206 12772383662412