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7381936144 = 241141942819
BaseRepresentation
bin1101101111111111…
…10110100000010000
3201001110102012200101
412313333312200100
5110104233424034
63220300302144
7350634264502
oct66777664020
921043365611
107381936144
113148a01980
121520241954
1390849146b
1450057bd72
152d3110514
hex1b7ff6810

7381936144 has 20 divisors (see below), whose sum is σ = 15602729040. Its totient is φ = 3355425440.

The previous prime is 7381936139. The next prime is 7381936157. The reversal of 7381936144 is 4416391837.

It is a junction number, because it is equal to n+sod(n) for n = 7381936094 and 7381936103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971234 + ... + 20971585.

It is an arithmetic number, because the mean of its divisors is an integer number (780136452).

Almost surely, 27381936144 is an apocalyptic number.

It is an amenable number.

7381936144 is an abundant number, since it is smaller than the sum of its proper divisors (8220792896).

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

7381936144 is a wasteful number, since it uses less digits than its factorization.

7381936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41942838 (or 41942832 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 7381936144 is about 85918.1944875473. The cubic root of 7381936144 is about 1947.1082400939.

The spelling of 7381936144 in words is "seven billion, three hundred eighty-one million, nine hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 41942819 83885638 167771276 335542552 461371009 671085104 922742018 1845484036 3690968072 7381936144