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45028904000 = 26535628613
BaseRepresentation
bin101001111011111011…
…101000110001000000
311022020010211022220012
4221323323220301000
51214204344412000
632404101404052
73152600240333
oct517373506100
9138203738805
1045028904000
1118107708053
128888109628
134327bc12c2
14227243461a
15128824c735
hexa7bee8c40

45028904000 has 56 divisors (see below), whose sum is σ = 111514100568. Its totient is φ = 18011558400.

The previous prime is 45028903993. The next prime is 45028904009. The reversal of 45028904000 is 40982054.

45028904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9283707904 + 35745196096 = 96352^2 + 189064^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45028904009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2806307 + ... + 2822306.

Almost surely, 245028904000 is an apocalyptic number.

45028904000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45028904000 is an abundant number, since it is smaller than the sum of its proper divisors (66485196568).

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

45028904000 is an equidigital number, since it uses as much as digits as its factorization.

45028904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628640 (or 5628620 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 45028904000 in words is "forty-five billion, twenty-eight million, nine hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 5628613 11257226 22514452 28143065 45028904 56286130 90057808 112572260 140715325 180115616 225144520 281430650 360231232 450289040 562861300 703576625 900578080 1125722600 1407153250 1801156160 2251445200 2814306500 4502890400 5628613000 9005780800 11257226000 22514452000 45028904000