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1939185664 = 21313131139
BaseRepresentation
bin111001110010101…
…1010000000000000
312000010220211122021
41303211122000000
512432412420124
6520231251224
766024543343
oct16345320000
95003824567
101939185664
1190568a989
12461519b14
1324b9a3850
1414578845a
15b539d7e4
hex7395a000

1939185664 has 112 divisors (see below), whose sum is σ = 4238609760. Its totient is φ = 881786880.

The previous prime is 1939185653. The next prime is 1939185671. The reversal of 1939185664 is 4665819391.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 13950907 + ... + 13951045.

It is an arithmetic number, because the mean of its divisors is an integer number (37844730).

Almost surely, 21939185664 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 1939185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119304880).

1939185664 is an abundant number, since it is smaller than the sum of its proper divisors (2299424096).

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

1939185664 is a wasteful number, since it uses less digits than its factorization.

1939185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 1939185664 is about 44036.1858475504. The cubic root of 1939185664 is about 1247.0191723703.

The spelling of 1939185664 in words is "one billion, nine hundred thirty-nine million, one hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 139 208 256 262 278 416 512 524 556 832 1024 1048 1112 1664 1703 1807 2048 2096 2224 3328 3406 3614 4096 4192 4448 6656 6812 7228 8192 8384 8896 13312 13624 14456 16768 17792 18209 26624 27248 28912 33536 35584 36418 53248 54496 57824 67072 71168 72836 106496 108992 115648 134144 142336 145672 217984 231296 236717 268288 284672 291344 435968 462592 473434 536576 569344 582688 871936 925184 946868 1073152 1138688 1165376 1743872 1850368 1893736 2330752 3487744 3700736 3787472 4661504 6975488 7401472 7574944 9323008 13950976 14802944 15149888 18646016 30299776 37292032 60599552 74584064 121199104 149168128 242398208 484796416 969592832 1939185664