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30074147552 = 25317325689
BaseRepresentation
bin11100000000100011…
…110001001011100000
32212121220210222200202
4130000203301023200
5443042440210202
621452121204332
72113160015321
oct340043611340
985556728622
1030074147552
11118330881a9
1259b39306a8
132ab38566a7
14165422a448
15bb03c3802
hex7008f12e0

30074147552 has 72 divisors (see below), whose sum is σ = 61978029120. Its totient is φ = 14350141440.

The previous prime is 30074147539. The next prime is 30074147557. The reversal of 30074147552 is 25574147003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30074147557) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5283524 + ... + 5289212.

It is an arithmetic number, because the mean of its divisors is an integer number (860805960).

Almost surely, 230074147552 is an apocalyptic number.

30074147552 is a gapful number since it is divisible by the number (32) 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 30074147552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30989014560).

30074147552 is an abundant number, since it is smaller than the sum of its proper divisors (31903881568).

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

30074147552 is an equidigital number, since it uses as much as digits as its factorization.

30074147552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 30074147552 in words is "thirty billion, seventy-four million, one hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 992 1168 2263 2336 4526 5329 5689 9052 10658 11378 18104 21316 22756 36208 42632 45512 72416 85264 91024 165199 170528 176359 182048 330398 352718 415297 660796 705436 830594 1321592 1410872 1661188 2643184 2821744 3322376 5286368 5643488 6644752 12874207 13289504 25748414 30316681 51496828 60633362 102993656 121266724 205987312 242533448 411974624 485066896 939817111 970133792 1879634222 3759268444 7518536888 15037073776 30074147552