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7250468104 = 231131096247
BaseRepresentation
bin1101100000010100…
…10101110100001000
3200201022000221102201
412300022111310020
5104322104434404
63155242405544
7344446650655
oct66012256410
920638027381
107250468104
113090778000
1214a42008b4
138b7180719
144cad18c2c
152c67e1ca4
hex1b0295d08

7250468104 has 64 divisors (see below), whose sum is σ = 15092668800. Its totient is φ = 3264909120.

The previous prime is 7250468081. The next prime is 7250468107. The reversal of 7250468104 is 4018640527.

It is not an unprimeable number, because it can be changed into a prime (7250468107) 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 15 ways as a sum of consecutive naturals, for example, 1157509 + ... + 1163755.

It is an arithmetic number, because the mean of its divisors is an integer number (235822950).

Almost surely, 27250468104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7250468104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546334400).

7250468104 is an abundant number, since it is smaller than the sum of its proper divisors (7842200696).

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

7250468104 is a wasteful number, since it uses less digits than its factorization.

7250468104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 7250468104 is about 85149.6805866000. The cubic root of 7250468104 is about 1935.4799739655.

It can be divided in two parts, 72504 and 68104, that added together give a cube (140608 = 523).

The spelling of 7250468104 in words is "seven billion, two hundred fifty million, four hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 109 121 218 242 436 484 872 968 1199 1331 2398 2662 4796 5324 6247 9592 10648 12494 13189 24988 26378 49976 52756 68717 105512 137434 145079 274868 290158 549736 580316 680923 755887 1160632 1361846 1511774 2723692 3023548 5447384 6047096 7490153 8314757 14980306 16629514 29960612 33259028 59921224 66518056 82391683 164783366 329566732 659133464 906308513 1812617026 3625234052 7250468104