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745235730432 = 212322931113199
BaseRepresentation
bin10101101100000111000…
…00101101000000000000
32122020120202111121011100
422312003200231000000
544202220321333212
61330205004014400
7104561431122354
oct12660340550000
92566522447140
10745235730432
11268064161486
12100521b31400
135537716573b
14280d8db7464
15145ba55bbdc
hexad8382d000

745235730432 has 624 divisors, whose sum is σ = 2330699904000. Its totient is φ = 228898897920.

The previous prime is 745235730347. The next prime is 745235730443. The reversal of 745235730432 is 234037532547.

745235730432 is a `hidden beast` number, since 7 + 4 + 523 + 57 + 30 + 43 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3744903069 + ... + 3744903267.

It is an arithmetic number, because the mean of its divisors is an integer number (3735096000).

Almost surely, 2745235730432 is an apocalyptic number.

745235730432 is a gapful number since it is divisible by the number (72) 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 745235730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165349952000).

745235730432 is an abundant number, since it is smaller than the sum of its proper divisors (1585464173568).

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

745235730432 is a wasteful number, since it uses less digits than its factorization.

745235730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 745235730432 in words is "seven hundred forty-five billion, two hundred thirty-five million, seven hundred thirty thousand, four hundred thirty-two".