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45377265384 = 233211167343081
BaseRepresentation
bin101010010000101100…
…100001111011101000
311100010102022220212200
4222100230201323220
51220413034443014
632502424140200
73164330251233
oct522054417350
9140112286780
1045377265384
1118276313120
128964907660
1343821226b9
1422a67d641a
1512a8b10a09
hexa90b21ee8

45377265384 has 96 divisors (see below), whose sum is σ = 134872395840. Its totient is φ = 13668307200.

The previous prime is 45377265379. The next prime is 45377265389. The reversal of 45377265384 is 48356277354.

It is a happy number.

45377265384 is a `hidden beast` number, since 4 + 5 + 37 + 72 + 6 + 538 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45377265379) and next prime (45377265389).

It is a self number, because there is not a number n which added to its sum of digits gives 45377265384.

It is not an unprimeable number, because it can be changed into a prime (45377265389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39277 + ... + 303804.

It is an arithmetic number, because the mean of its divisors is an integer number (1404920790).

Almost surely, 245377265384 is an apocalyptic number.

45377265384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45377265384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67436197920).

45377265384 is an abundant number, since it is smaller than the sum of its proper divisors (89495130456).

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

45377265384 is a wasteful number, since it uses less digits than its factorization.

45377265384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343271 (or 343264 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 45377265384 in words is "forty-five billion, three hundred seventy-seven million, two hundred sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 167 198 264 334 396 501 668 792 1002 1336 1503 1837 2004 3006 3674 4008 5511 6012 7348 11022 12024 14696 16533 22044 33066 44088 66132 132264 343081 686162 1029243 1372324 2058486 2744648 3087729 3773891 4116972 6175458 7547782 8233944 11321673 12350916 15095564 22643346 24701832 30191128 33965019 45286692 57294527 67930038 90573384 114589054 135860076 171883581 229178108 271720152 343767162 458356216 515650743 630239797 687534324 1031301486 1260479594 1375068648 1890719391 2062602972 2520959188 3781438782 4125205944 5041918376 5672158173 7562877564 11344316346 15125755128 22688632692 45377265384