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1375201464 = 2337213233911
BaseRepresentation
bin101000111110111…
…1110100010111000
310112211200110202120
41101331332202320
510304022421324
6344243201240
746036006500
oct12175764270
93484613676
101375201464
116462a123a
12324676220
1318bba81a0
14d08d8a00
1580ae7179
hex51f7e8b8

1375201464 has 192 divisors, whose sum is σ = 4495357440. Its totient is φ = 346832640.

The previous prime is 1375201463. The next prime is 1375201501. The reversal of 1375201464 is 4641025731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375201463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349669 + ... + 353579.

It is an arithmetic number, because the mean of its divisors is an integer number (23413320).

Almost surely, 21375201464 is an apocalyptic number.

1375201464 is a gapful number since it is divisible by the number (14) 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 1375201464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247678720).

1375201464 is an abundant number, since it is smaller than the sum of its proper divisors (3120155976).

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

1375201464 is a wasteful number, since it uses less digits than its factorization.

1375201464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1375201464 is about 37083.7088760011. The cubic root of 1375201464 is about 1112.0443519567.

The spelling of 1375201464 in words is "one billion, three hundred seventy-five million, two hundred one thousand, four hundred sixty-four".