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309347237472 = 253721319332617
BaseRepresentation
bin1001000000001101000…
…10000011111001100000
31002120110221101220000120
410200012202003321200
520032020343044342
6354040120520240
731230625063500
oct4400642037140
91076427356016
10309347237472
1110a2144a6149
124bb53920080
132322c508860
1410d88705a00
1580a80caaec
hex4806883e60

309347237472 has 288 divisors, whose sum is σ = 1018191680352. Its totient is φ = 81512718336.

The previous prime is 309347237359. The next prime is 309347237477. The reversal of 309347237472 is 274732743903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309347237477) 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 47 ways as a sum of consecutive naturals, for example, 118205508 + ... + 118208124.

It is an arithmetic number, because the mean of its divisors is an integer number (3535387779).

Almost surely, 2309347237472 is an apocalyptic number.

309347237472 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 309347237472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509095840176).

309347237472 is an abundant number, since it is smaller than the sum of its proper divisors (708844442880).

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

309347237472 is a wasteful number, since it uses less digits than its factorization.

309347237472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 309347237472 in words is "three hundred nine billion, three hundred forty-seven million, two hundred thirty-seven thousand, four hundred seventy-two".