Search a number
-
+
2271213113664 = 263111763257941
BaseRepresentation
bin100001000011001110110…
…110011101000101000000
322001010101202011112102210
4201003032312131011000
5244202421024114124
64455214135142120
7323042530635165
oct41031666350500
98033352145383
102271213113664
117a6241657330
12308214814940
13136236434211
147bcda72c06c
153e12d2dda29
hex210ced9d140

2271213113664 has 112 divisors (see below), whose sum is σ = 6941167459776. Its totient is φ = 647761305600.

The previous prime is 2271213113657. The next prime is 2271213113699. The reversal of 2271213113664 is 4663113121722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31593067 + ... + 31664874.

Almost surely, 22271213113664 is an apocalyptic number.

2271213113664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2271213113664 is an abundant number, since it is smaller than the sum of its proper divisors (4669954346112).

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

2271213113664 is a wasteful number, since it uses less digits than its factorization.

2271213113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63257984 (or 63257974 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The spelling of 2271213113664 in words is "two trillion, two hundred seventy-one billion, two hundred thirteen million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8976 11968 17952 35904 63257941 126515882 189773823 253031764 379547646 506063528 695837351 759095292 1012127056 1075384997 1391674702 1518190584 2024254112 2087512053 2150769994 2783349404 3036381168 3226154991 4048508224 4175024106 4301539988 5566698808 6072762336 6452309982 8350048212 8603079976 11133397616 11829234967 12145524672 12904619964 16700096424 17206159952 22266795232 23658469934 25809239928 33400192848 34412319904 35487704901 44533590464 47316939868 51618479856 66800385696 68824639808 70975409802 94633879736 103236959712 133600771392 141950819604 189267759472 206473919424 283901639208 378535518944 567803278416 757071037888 1135606556832 2271213113664