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10450552104 = 2332312732069
BaseRepresentation
bin10011011101110011…
…01100010100101000
3222222022120001102100
421232321230110220
5132400320131404
64444555333400
7516655140636
oct115671542450
928868501370
1010450552104
114483078523
122037a51260
13ca714b555
14711d26356
15412709d39
hex26ee6c528

10450552104 has 144 divisors (see below), whose sum is σ = 29661009300. Its totient is φ = 3323358720.

The previous prime is 10450551973. The next prime is 10450552111. The reversal of 10450552104 is 40125505401.

10450552104 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 552 + 104 = 666.

10450552104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10200596004 + 249956100 = 100998^2 + 15810^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5049982 + ... + 5052050.

Almost surely, 210450552104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10450552104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830504650).

10450552104 is an abundant number, since it is smaller than the sum of its proper divisors (19210457196).

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

10450552104 is a wasteful number, since it uses less digits than its factorization.

10450552104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10450552104 in words is "ten billion, four hundred fifty million, five hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 219 248 279 292 372 438 558 584 657 744 876 961 1116 1314 1752 1922 2069 2232 2263 2628 2883 3844 4138 4526 5256 5766 6207 6789 7688 8276 8649 9052 11532 12414 13578 16552 17298 18104 18621 20367 23064 24828 27156 34596 37242 40734 49656 54312 64139 69192 70153 74484 81468 128278 140306 148968 151037 162936 192417 210459 256556 280612 302074 384834 420918 453111 513112 561224 577251 604148 631377 769668 841836 906222 1154502 1208296 1262754 1359333 1539336 1683672 1812444 1988309 2309004 2525508 2718666 3624888 3976618 4618008 4682147 5051016 5437332 5964927 7953236 9364294 10874664 11929854 14046441 15906472 17894781 18728588 23859708 28092882 35789562 37457176 42139323 47719416 56185764 71579124 84278646 112371528 143158248 145146557 168557292 290293114 337114584 435439671 580586228 870879342 1161172456 1306319013 1741758684 2612638026 3483517368 5225276052 10450552104