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2263893676896 = 253171973009987
BaseRepresentation
bin100000111100011010100…
…101000001001101100000
322000102111122100121210010
4200330122211001031200
5244042423240130041
64452003550204520
7322363252514325
oct40743245011540
98012448317703
102263893676896
117a3125a63135
123069114b3740
1313563abb6547
147b8045bcb4c
153dd50926a16
hex20f1a941360

2263893676896 has 96 divisors (see below), whose sum is σ = 6623466111360. Its totient is φ = 672860030976.

The previous prime is 2263893676859. The next prime is 2263893676901. The reversal of 2263893676896 is 6986763983622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36473986 + ... + 36536001.

It is an arithmetic number, because the mean of its divisors is an integer number (68994438660).

Almost surely, 22263893676896 is an apocalyptic number.

It is an amenable number.

2263893676896 is an abundant number, since it is smaller than the sum of its proper divisors (4359572434464).

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

2263893676896 is a wasteful number, since it uses less digits than its factorization.

2263893676896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73010036 (or 73010028 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 75.

The spelling of 2263893676896 in words is "two trillion, two hundred sixty-three billion, eight hundred ninety-three million, six hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 73009987 146019974 219029961 292039948 438059922 584079896 876119844 1168159792 1241169779 1387189753 1752239688 2336319584 2482339558 2774379506 3504479376 3723509337 4161569259 4964679116 5548759012 7008958752 7447018674 8323138518 9929358232 11097518024 14894037348 16646277036 19858716464 22195036048 23582225801 29788074696 33292554072 39717432928 44390072096 47164451602 59576149392 66585108144 70746677403 94328903204 119152298784 133170216288 141493354806 188657806408 282986709612 377315612816 565973419224 754631225632 1131946838448 2263893676896