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45500323776 = 263834496359
BaseRepresentation
bin101010011000000001…
…111101011111000000
311100102222212221020220
4222120001331133000
51221141040330101
632522541503040
73200353241115
oct523001753700
9140388787226
1045500323776
1118329823776
128999b71a80
1343a177a70b
1422b8caa90c
1512b481c636
hexa9807d7c0

45500323776 has 112 divisors (see below), whose sum is σ = 122127264000. Its totient is φ = 14948319232.

The previous prime is 45500323769. The next prime is 45500323793. The reversal of 45500323776 is 67732300554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7152085 + ... + 7158443.

It is an arithmetic number, because the mean of its divisors is an integer number (1090422000).

Almost surely, 245500323776 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 45500323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61063632000).

45500323776 is an abundant number, since it is smaller than the sum of its proper divisors (76626940224).

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

45500323776 is a wasteful number, since it uses less digits than its factorization.

45500323776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 45500323776 in words is "forty-five billion, five hundred million, three hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 449 498 664 898 996 1328 1347 1796 1992 2656 2694 3592 3984 5312 5388 6359 7184 7968 10776 12718 14368 15936 19077 21552 25436 28736 37267 38154 43104 50872 74534 76308 86208 101744 111801 149068 152616 203488 223602 298136 305232 406976 447204 527797 596272 610464 894408 1055594 1192544 1220928 1583391 1788816 2111188 2385088 2855191 3166782 3577632 4222376 5710382 6333564 7155264 8444752 8565573 11420764 12667128 16889504 17131146 22841528 25334256 33779008 34262292 45683056 50668512 68524584 91366112 101337024 137049168 182732224 236980853 274098336 473961706 548196672 710942559 947923412 1421885118 1895846824 2843770236 3791693648 5687540472 7583387296 11375080944 15166774592 22750161888 45500323776