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45734388736 = 2104121632
BaseRepresentation
bin101010100101111110…
…110110010000000000
311101001022022200000111
4222211332312100000
51222131000414421
633002102401104
73206224614211
oct524576662000
9141038280014
1045734388736
1118439963193
128a44430194
13440b100caa
1422dbdd9408
1512ca154ee1
hexaa5fb6400

45734388736 has 99 divisors (see below), whose sum is σ = 94286783073. Its totient is φ = 22172590080.

The previous prime is 45734388659. The next prime is 45734388743. The reversal of 45734388736 is 63788343754.

The square root of 45734388736 is 213856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2203739136 + 43530649600 = 46944^2 + 208640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 280578991 + ... + 280579153.

Almost surely, 245734388736 is an apocalyptic number.

45734388736 is the 213856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45734388736

45734388736 is an abundant number, since it is smaller than the sum of its proper divisors (48552394337).

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

45734388736 is an frugal number, since it uses more digits than its factorization.

45734388736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 206 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 58.

The spelling of 45734388736 in words is "forty-five billion, seven hundred thirty-four million, three hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 512 652 656 1024 1304 1312 1681 2608 2624 3362 5216 5248 6683 6724 10432 10496 13366 13448 20864 20992 26569 26732 26896 41728 41984 53138 53464 53792 83456 106276 106928 107584 166912 212552 213856 215168 274003 425104 427712 430336 548006 850208 855424 860672 1089329 1096012 1700416 1710848 1721344 2178658 2192024 3400832 3421696 4357316 4384048 6801664 6843392 8714632 8768096 13603328 17429264 17536192 27206656 34858528 35072384 44662489 69717056 70144768 89324978 139434112 140289536 178649956 278868224 280579072 357299912 557736448 714599824 1115472896 1429199648 2858399296 5716798592 11433597184 22867194368 45734388736