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45730414992 = 24371107125407
BaseRepresentation
bin101010100101101111…
…101100000110010000
311101001000211210001210
4222211233230012100
51222123441234432
633001441300120
73206146054023
oct524557540620
9141030753053
1045730414992
11184376996a9
128a43034640
13440a33c372
1422db6831ba
1512c9b1c8cc
hexaa5bec190

45730414992 has 80 divisors (see below), whose sum is σ = 120921403392. Its totient is φ = 14888200320.

The previous prime is 45730414979. The next prime is 45730415011. The reversal of 45730414992 is 29941403754.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 301953 + ... + 427359.

Almost surely, 245730414992 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 45730414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60460701696).

45730414992 is an abundant number, since it is smaller than the sum of its proper divisors (75190988400).

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

45730414992 is a wasteful number, since it uses less digits than its factorization.

45730414992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125596 (or 125590 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 45730414992 in words is "forty-five billion, seven hundred thirty million, four hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 107 142 213 214 284 321 426 428 568 642 852 856 1136 1284 1704 1712 2568 3408 5136 7597 15194 22791 30388 45582 60776 91164 121552 125407 182328 250814 364656 376221 501628 752442 1003256 1504884 2006512 3009768 6019536 8903897 13418549 17807794 26711691 26837098 35615588 40255647 53423382 53674196 71231176 80511294 106846764 107348392 142462352 161022588 213693528 214696784 322045176 427387056 644090352 952716979 1905433958 2858150937 3810867916 5716301874 7621735832 11432603748 15243471664 22865207496 45730414992