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5375072346 = 237243342223
BaseRepresentation
bin1010000000110000…
…10001100001011010
3111212121010222002120
411000120101201122
542002004303341
62245210242110
7250125234600
oct50030214132
914777128076
105375072346
1123090a7456
121060126336
13678782ba7
1438dc17870
15216d44066
hex14061185a

5375072346 has 48 divisors (see below), whose sum is σ = 12534447744. Its totient is φ = 1532151936.

The previous prime is 5375072333. The next prime is 5375072383. The reversal of 5375072346 is 6432705735.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5375072298 and 5375072307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106191 + ... + 148413.

It is an arithmetic number, because the mean of its divisors is an integer number (261134328).

Almost surely, 25375072346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375072346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267223872).

5375072346 is an abundant number, since it is smaller than the sum of its proper divisors (7159375398).

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

5375072346 is a wasteful number, since it uses less digits than its factorization.

5375072346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42675 (or 42668 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The square root of 5375072346 is about 73314.8848870405. The cubic root of 5375072346 is about 1751.7068892848.

The spelling of 5375072346 in words is "five billion, three hundred seventy-five million, seventy-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 433 866 1299 2598 3031 6062 9093 18186 21217 42223 42434 63651 84446 126669 127302 253338 295561 591122 886683 1773366 2068927 4137854 6206781 12413562 18282559 36565118 54847677 109695354 127977913 255955826 383933739 767867478 895845391 1791690782 2687536173 5375072346