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45173332224 = 2832137143113
BaseRepresentation
bin101010000100100010…
…100101100100000000
311022121012121001011200
4222010202211210000
51220003333112344
632430301141200
73156302663016
oct520442454400
9138535531150
1045173332224
1118181194119
12890855a800
13434babc0a7
1422876ac8b6
151295c7b069
hexa848a5900

45173332224 has 108 divisors (see below), whose sum is σ = 131197469676. Its totient is φ = 14947762176.

The previous prime is 45173332189. The next prime is 45173332247. The reversal of 45173332224 is 42223337154.

It can be written as a sum of positive squares in 2 ways, for example, as 8143257600 + 37030074624 = 90240^2 + 192432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244092 + ... + 387204.

Almost surely, 245173332224 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 45173332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65598734838).

45173332224 is an abundant number, since it is smaller than the sum of its proper divisors (86024137452).

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

45173332224 is a wasteful number, since it uses less digits than its factorization.

45173332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143272 (or 143255 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

Adding to 45173332224 its reverse (42223337154), we get a palindrome (87396669378).

The spelling of 45173332224 in words is "forty-five billion, one hundred seventy-three million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 26304 35072 39456 52608 78912 105216 143113 157824 286226 315648 429339 572452 858678 1144904 1288017 1717356 2289808 2576034 3434712 4579616 5152068 6869424 9159232 10304136 13738848 18318464 19606481 20608272 27477696 36636928 39212962 41216544 54955392 58819443 78425924 82433088 109910784 117638886 156851848 164866176 176458329 235277772 313703696 329732352 352916658 470555544 627407392 705833316 941111088 1254814784 1411666632 1882222176 2509629568 2823333264 3764444352 5019259136 5646666528 7528888704 11293333056 15057777408 22586666112 45173332224