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45921540054 = 231317231505723
BaseRepresentation
bin101010110001001000…
…110001011111010110
311101112100110221100210
4222301020301133112
51223021403240204
633032425550250
73213656435655
oct526110613726
9141470427323
1045921540054
111852556a7a5
128a97045386
13443ab09c10
142318bd519c
1512db7c2389
hexab12317d6

45921540054 has 64 divisors (see below), whose sum is σ = 109279425024. Its totient is φ = 12720339456.

The previous prime is 45921540053. The next prime is 45921540073. The reversal of 45921540054 is 45004512954.

45921540054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459215400542 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 45921539994 and 45921540021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45921540053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722364 + ... + 783359.

It is an arithmetic number, because the mean of its divisors is an integer number (1707491016).

Almost surely, 245921540054 is an apocalyptic number.

45921540054 is an abundant number, since it is smaller than the sum of its proper divisors (63357884970).

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

45921540054 is a wasteful number, since it uses less digits than its factorization.

45921540054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505781.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 45921540054 in words is "forty-five billion, nine hundred twenty-one million, five hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 5083 10166 15249 30498 1505723 3011446 4517169 9034338 19574399 25597291 34631629 39148798 51194582 58723197 69263258 76791873 103894887 117446394 153583746 207789774 332764783 450211177 588737693 665529566 900422354 998294349 1177475386 1350633531 1766213079 1996588698 2701267062 3532426158 7653590009 15307180018 22960770027 45921540054