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10379890941 = 372378322993
BaseRepresentation
bin10011010101011000…
…01001000011111101
3222210101121002112020
421222230021003331
5132224223002231
64433553030353
7515136421500
oct115254110375
928711532466
1010379890941
1144471a5772
1220182553b9
13c9560ab04
147067b1137
1540b3ed396
hex26ab090fd

10379890941 has 48 divisors (see below), whose sum is σ = 16734481344. Its totient is φ = 5701280256.

The previous prime is 10379890933. The next prime is 10379890981. The reversal of 10379890941 is 14909897301.

It is a happy number.

10379890941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10379890941 - 23 = 10379890933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379890901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 439941 + ... + 462933.

It is an arithmetic number, because the mean of its divisors is an integer number (348635028).

Almost surely, 210379890941 is an apocalyptic number.

It is an amenable number.

10379890941 is a deficient number, since it is larger than the sum of its proper divisors (6354590403).

10379890941 is a wasteful number, since it uses less digits than its factorization.

10379890941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130 (or 23123 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 10379890941 in words is "ten billion, three hundred seventy-nine million, eight hundred ninety thousand, nine hundred forty-one".

Divisors: 1 3 7 21 37 49 83 111 147 249 259 581 777 1743 1813 3071 4067 5439 9213 12201 21497 22993 64491 68979 150479 160951 451437 482853 850741 1126657 1908419 2552223 3379971 5725257 5955187 13358933 17865561 40076799 41686309 70611503 93512531 125058927 211834509 280537593 494280521 1482841563 3459963647 10379890941