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45021878832 = 24373137197593
BaseRepresentation
bin101001111011100000…
…110101101000110000
311022012122121102011210
4221323200311220300
51214201100110312
632403251040120
73152453440650
oct517340655060
9138178542153
1045021878832
1118103749a27
1288858a0040
1343266017b8
142271526360
151287810e3c
hexa7b835a30

45021878832 has 320 divisors, whose sum is σ = 141872062464. Its totient is φ = 12030197760.

The previous prime is 45021878831. The next prime is 45021878833. The reversal of 45021878832 is 23887812054.

It is an interprime number because it is at equal distance from previous prime (45021878831) and next prime (45021878833).

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

It is not an unprimeable number, because it can be changed into a prime (45021878831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 75921928 + ... + 75922520.

Almost surely, 245021878832 is an apocalyptic number.

45021878832 is a gapful number since it is divisible by the number (42) 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 45021878832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70936031232).

45021878832 is an abundant number, since it is smaller than the sum of its proper divisors (96850183632).

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

45021878832 is a wasteful number, since it uses less digits than its factorization.

45021878832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 45021878832 in words is "forty-five billion, twenty-one million, eight hundred seventy-eight thousand, eight hundred thirty-two".