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10379659464 = 2338197753
BaseRepresentation
bin10011010101010110…
…10000100011001000
3222210101011100000000
421222223100203020
5132224143100324
64433544043000
7515134435566
oct115253204310
928711140000
1010379659464
114447057869
122018163460
13c95559645
14706750a36
1540b3a49c9
hex26aad08c8

10379659464 has 72 divisors (see below), whose sum is σ = 29191456710. Its totient is φ = 3459868992.

The previous prime is 10379659463. The next prime is 10379659481. The reversal of 10379659464 is 46495697301.

10379659464 is a `hidden beast` number, since 10 + 37 + 9 + 6 + 594 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9166530564 + 1213128900 = 95742^2 + 34830^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10379659464.

It is not an unprimeable number, because it can be changed into a prime (10379659463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46389 + ... + 151364.

Almost surely, 210379659464 is an apocalyptic number.

It is an amenable number.

10379659464 is an abundant number, since it is smaller than the sum of its proper divisors (18811797246).

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

10379659464 is an frugal number, since it uses more digits than its factorization.

10379659464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197783 (or 197758 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10379659464 in words is "ten billion, three hundred seventy-nine million, six hundred fifty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 197753 395506 593259 791012 1186518 1582024 1779777 2373036 3559554 4746072 5339331 7119108 10678662 14238216 16017993 21357324 32035986 42714648 48053979 64071972 96107958 128143944 144161937 192215916 288323874 384431832 432485811 576647748 864971622 1153295496 1297457433 1729943244 2594914866 3459886488 5189829732 10379659464