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36201022164 = 2232171911327551
BaseRepresentation
bin100001101101101111…
…111100001011010100
310110102220121110121200
4201231233330023110
51043114430202124
624344105312500
72421044416446
oct415557741324
9113386543550
1036201022164
111439759583a
127023795730
13354bcb5498
141a75c24496
15e1d21dbc9
hex86dbfc2d4

36201022164 has 144 divisors (see below), whose sum is σ = 102896801280. Its totient is φ = 10663833600.

The previous prime is 36201022153. The next prime is 36201022189. The reversal of 36201022164 is 46122010263.

36201022164 is a `hidden beast` number, since 3 + 620 + 1 + 0 + 22 + 16 + 4 = 666.

It is a congruent number.

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, 1300189 + ... + 1327739.

It is an arithmetic number, because the mean of its divisors is an integer number (714561120).

Almost surely, 236201022164 is an apocalyptic number.

36201022164 is a gapful number since it is divisible by the number (34) 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 36201022164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51448400640).

36201022164 is an abundant number, since it is smaller than the sum of its proper divisors (66695779116).

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

36201022164 is a wasteful number, since it uses less digits than its factorization.

36201022164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36201022164 in words is "thirty-six billion, two hundred one million, twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 113 114 153 171 204 226 228 306 323 339 342 452 612 646 678 684 969 1017 1292 1356 1921 1938 2034 2147 2907 3842 3876 4068 4294 5763 5814 6441 7684 8588 11526 11628 12882 17289 19323 23052 25764 27551 34578 36499 38646 55102 69156 72998 77292 82653 109497 110204 145996 165306 218994 247959 328491 330612 437988 468367 495918 523469 656982 936734 991836 1046938 1313964 1405101 1570407 1873468 2093876 2810202 3113263 3140814 4215303 4711221 5620404 6226526 6281628 8430606 8898973 9339789 9422442 12453052 16861212 17797946 18679578 18844884 26696919 28019367 35595892 37359156 52925471 53393838 56038734 59151997 80090757 105850942 106787676 112077468 118303994 158776413 160181514 177455991 211701884 236607988 317552826 320363028 354911982 476329239 532367973 635105652 709823964 952658478 1005583949 1064735946 1905316956 2011167898 2129471892 3016751847 4022335796 6033503694 9050255541 12067007388 18100511082 36201022164