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45332332320 = 2535118585669
BaseRepresentation
bin101010001110000001…
…000111111100100000
311100000021210002022010
4222032001013330200
51220320034113240
632454141112520
73163243316112
oct521601077440
9140007702263
1045332332320
1118252a13260
128951858740
134375a1c6a2
1422a085b3b2
1512a4bd7280
hexa8e047f20

45332332320 has 96 divisors (see below), whose sum is σ = 155778396480. Its totient is φ = 10989655040.

The previous prime is 45332332291. The next prime is 45332332321. The reversal of 45332332320 is 2323323354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45332332321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287555 + ... + 4298114.

It is an arithmetic number, because the mean of its divisors is an integer number (1622691630).

Almost surely, 245332332320 is an apocalyptic number.

45332332320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45332332320 is an abundant number, since it is smaller than the sum of its proper divisors (110446064160).

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

45332332320 is a wasteful number, since it uses less digits than its factorization.

45332332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585698 (or 8585690 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 45332332320 its reverse (2323323354), we get a palindrome (47655655674).

The spelling of 45332332320 in words is "forty-five billion, three hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 8585669 17171338 25757007 34342676 42928345 51514014 68685352 85856690 94442359 103028028 128785035 137370704 171713380 188884718 206056056 257570070 274741408 283327077 343426760 377769436 412112112 472211795 515140140 566654154 686853520 755538872 824224224 944423590 1030280280 1133308308 1373707040 1416635385 1511077744 1888847180 2060560560 2266616616 2833270770 3022155488 3777694360 4121121120 4533233232 5666541540 7555388720 9066466464 11333083080 15110777440 22666166160 45332332320