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1333799136 = 25341812843
BaseRepresentation
bin100111110000000…
…0010100011100000
310102221210000110000
41033200002203200
510212423033021
6340203540000
745024051135
oct11740024340
93387700400
101333799136
1162499303a
1231282a600
13183440277
14c91dc58c
157c169b26
hex4f8028e0

1333799136 has 120 divisors (see below), whose sum is σ = 3945725784. Its totient is φ = 441987840.

The previous prime is 1333799111. The next prime is 1333799143. The reversal of 1333799136 is 6319973331.

It is a junction number, because it is equal to n+sod(n) for n = 1333799091 and 1333799100.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 467731 + ... + 470573.

Almost surely, 21333799136 is an apocalyptic number.

1333799136 is a gapful number since it is divisible by the number (16) 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 1333799136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972862892).

1333799136 is an abundant number, since it is smaller than the sum of its proper divisors (2611926648).

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

1333799136 is a wasteful number, since it uses less digits than its factorization.

1333799136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3029 counting only the distinct ones).

The product of its digits is 275562, while the sum is 45.

The square root of 1333799136 is about 36521.2148757404. The cubic root of 1333799136 is about 1100.7705719187.

The spelling of 1333799136 in words is "one billion, three hundred thirty-three million, seven hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 288 324 362 432 543 648 724 864 1086 1296 1448 1629 2172 2592 2843 2896 3258 4344 4887 5686 5792 6516 8529 8688 9774 11372 13032 14661 17058 17376 19548 22744 25587 26064 29322 34116 39096 45488 51174 52128 58644 68232 76761 78192 90976 102348 117288 136464 153522 156384 204696 230283 234576 272928 307044 409392 460566 469152 514583 614088 818784 921132 1029166 1228176 1543749 1842264 2058332 2456352 3087498 3684528 4116664 4631247 6174996 7369056 8233328 9262494 12349992 13893741 16466656 18524988 24699984 27787482 37049976 41681223 49399968 55574964 74099952 83362446 111149928 148199904 166724892 222299856 333449784 444599712 666899568 1333799136