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1164516489216 = 21132154940787
BaseRepresentation
bin10000111100100010100…
…101110111100000000000
311010022211011012222221100
4100330202211313200000
5123034412210123331
62250545501454400
7150063542560203
oct20744245674000
94108734188840
101164516489216
11409961221273
12169836271400
1385a76163392
1440511b1993a
152045999cae6
hex10f22977800

1164516489216 has 144 divisors (see below), whose sum is σ = 3365591229000. Its totient is φ = 387912056832.

The previous prime is 1164516489193. The next prime is 1164516489233. The reversal of 1164516489216 is 6129846154611.

1164516489216 is a `hidden beast` number, since 1 + 1 + 64 + 516 + 48 + 9 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28530775 + ... + 28571561.

Almost surely, 21164516489216 is an apocalyptic number.

1164516489216 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 1164516489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682795614500).

1164516489216 is an abundant number, since it is smaller than the sum of its proper divisors (2201074739784).

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

1164516489216 is a wasteful number, since it uses less digits than its factorization.

1164516489216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42364 (or 42341 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 1164516489216 in words is "one trillion, one hundred sixty-four billion, five hundred sixteen million, four hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1549 2048 2304 3072 3098 4608 4647 6144 6196 9216 9294 12392 13941 18432 18588 24784 27882 37176 40787 49568 55764 74352 81574 99136 111528 122361 148704 163148 198272 223056 244722 297408 326296 367083 396544 446112 489444 594816 652592 734166 793088 892224 978888 1189632 1305184 1468332 1586176 1784448 1957776 2379264 2610368 2936664 3172352 3568896 3915552 4758528 5220736 5873328 7137792 7831104 9517056 10441472 11746656 14275584 15662208 20882944 23493312 28551168 31324416 41765888 46986624 62648832 63179063 83531776 93973248 125297664 126358126 187946496 189537189 250595328 252716252 375892992 379074378 505432504 568611567 751785984 758148756 1010865008 1137223134 1516297512 2021730016 2274446268 3032595024 4043460032 4548892536 6065190048 8086920064 9097785072 12130380096 16173840128 18195570144 24260760192 32347680256 36391140288 48521520384 64695360512 72782280576 97043040768 129390721024 145564561152 194086081536 291129122304 388172163072 582258244608 1164516489216