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11819377948868 = 22717411669362867
BaseRepresentation
bin1010101111111110100111…
…0100101111100011000100
31112211220212202211012210222
42223333221310233203010
53022122041223330433
641045425224403512
72326631126632160
oct253775164574304
945756782735728
1011819377948868
11384762a7a3486
1213aa811916598
13679740c2b859
142cc0bd339ca0
151576b0ce0b98
hexabfe9d2f8c4

11819377948868 has 96 divisors (see below), whose sum is σ = 25655174012160. Its totient is φ = 4648400547840.

The previous prime is 11819377948841. The next prime is 11819377948921. The reversal of 11819377948868 is 86884977391811.

It is a junction number, because it is equal to n+sod(n) for n = 11819377948792 and 11819377948801.

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, 32390771 + ... + 32753637.

It is an arithmetic number, because the mean of its divisors is an integer number (267241395960).

Almost surely, 211819377948868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11819377948868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827587006080).

11819377948868 is an abundant number, since it is smaller than the sum of its proper divisors (13835796063292).

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

11819377948868 is a wasteful number, since it uses less digits than its factorization.

11819377948868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364605 (or 364603 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 80.

The spelling of 11819377948868 in words is "eleven trillion, eight hundred nineteen billion, three hundred seventy-seven million, nine hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1148 1394 1669 2788 3338 4879 6676 9758 11683 19516 23366 28373 46732 56746 68429 113492 136858 198611 273716 362867 397222 479003 725734 794444 958006 1163293 1451468 1916012 2326586 2540069 4653172 5080138 6168739 8143051 10160276 12337478 14877547 16286102 24674956 29755094 32572204 43181173 59510188 86362346 104142829 172724692 208285658 252918299 416571316 505836598 605625023 1011673196 1211250046 1770428093 2422500092 3540856186 4239375161 7081712372 8478750322 10295625391 16957500644 20591250782 24830625943 41182501564 49661251886 72069377737 99322503772 144138755474 173814381601 288277510948 347628763202 422120641031 695257526404 844241282062 1688482564124 2954844487217 5909688974434 11819377948868