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10379216952 = 23321311088907
BaseRepresentation
bin10011010101010011…
…00100100000111000
3222210100022211222200
421222221210200320
5132224034420302
64433530350200
7515130613506
oct115251444070
928710284880
1010379216952
114446885355
122017b8b360
13c954330c0
14706677676
1540b31881c
hex26aa64838

10379216952 has 48 divisors (see below), whose sum is σ = 30272718840. Its totient is φ = 3193604928.

The previous prime is 10379216951. The next prime is 10379216971. The reversal of 10379216952 is 25961297301.

It is a happy number.

10379216952 is a `hidden beast` number, since 10 + 379 + 216 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10379216898 and 10379216907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379216951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5543518 + ... + 5545389.

Almost surely, 210379216952 is an apocalyptic number.

10379216952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10379216952 is an abundant number, since it is smaller than the sum of its proper divisors (19893501888).

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

10379216952 is a wasteful number, since it uses less digits than its factorization.

10379216952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11088932 (or 11088925 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10379216952 in words is "ten billion, three hundred seventy-nine million, two hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11088907 22177814 33266721 44355628 66533442 88711256 99800163 133066884 144155791 199600326 266133768 288311582 399200652 432467373 576623164 798401304 864934746 1153246328 1297402119 1729869492 2594804238 3459738984 5189608476 10379216952