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10629277245 = 3454721092
BaseRepresentation
bin10011110011000110…
…11110011000111101
31000102202212020020000
421321203132120331
5133232043332440
64514422144513
7524255236326
oct117143363075
930382766200
1010629277245
114564a4a354
122087882139
131005197082
1472b96b44d
15423260730
hex2798de63d

10629277245 has 90 divisors (see below), whose sum is σ = 19648236762. Its totient is φ = 5497429824.

The previous prime is 10629277237. The next prime is 10629277259. The reversal of 10629277245 is 54277292601.

10629277245 is a `hidden beast` number, since 10 + 629 + 2 + 7 + 7 + 2 + 4 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2663179236 + 7966098009 = 51606^2 + 89253^2 .

It is not a de Polignac number, because 10629277245 - 23 = 10629277237 is a prime.

It is a super-2 number, since 2×106292772452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10629277245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 97516251 + ... + 97516359.

Almost surely, 210629277245 is an apocalyptic number.

10629277245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10629277245 is a deficient number, since it is larger than the sum of its proper divisors (9018959517).

10629277245 is an frugal number, since it uses more digits than its factorization.

10629277245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Multiplying 10629277245 by its sum of digits (45), we get a square (478317476025 = 6916052).

10629277245 divided by its sum of digits (45) gives a square (236206161 = 153692).

The spelling of 10629277245 in words is "ten billion, six hundred twenty-nine million, two hundred seventy-seven thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 81 109 135 141 235 327 405 423 545 705 981 1269 1635 2115 2209 2943 3807 4905 5123 6345 6627 8829 11045 11881 14715 15369 19035 19881 25615 33135 35643 44145 46107 59405 59643 76845 99405 106929 138321 178215 178929 230535 240781 298215 320787 414963 534645 558407 691605 722343 894645 962361 1203905 1603935 1675221 2074815 2167029 2792035 3611715 4811805 5025663 6501087 8376105 10835145 15076989 19503261 25128315 26245129 32505435 45230967 75384945 78735387 97516305 131225645 226154835 236206161 393676935 708618483 1181030805 2125855449 3543092415 10629277245