Search a number
-
+
5713721904 = 24311101307349
BaseRepresentation
bin1010101001001000…
…00111101000110000
3112202012101010221210
411110210013220300
543200203100104
62342544520120
7261406556232
oct52444075060
915665333853
105713721904
112472279920
121135620040
13700993947
143c2bac252
15236939989
hex154907a30

5713721904 has 160 divisors (see below), whose sum is σ = 16361452800. Its totient is φ = 1703808000.

The previous prime is 5713721851. The next prime is 5713721927. The reversal of 5713721904 is 4091273175.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16371522 + ... + 16371870.

It is an arithmetic number, because the mean of its divisors is an integer number (102259080).

Almost surely, 25713721904 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 5713721904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180726400).

5713721904 is an abundant number, since it is smaller than the sum of its proper divisors (10647730896).

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

5713721904 is a wasteful number, since it uses less digits than its factorization.

5713721904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 5713721904 is about 75589.1652553460. The cubic root of 5713721904 is about 1787.7482691916.

The spelling of 5713721904 in words is "five billion, seven hundred thirteen million, seven hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 307 349 404 528 606 614 698 808 921 1047 1111 1212 1228 1396 1616 1842 2094 2222 2424 2456 2792 3333 3377 3684 3839 4188 4444 4848 4912 5584 6666 6754 7368 7678 8376 8888 10131 11517 13332 13508 14736 15356 16752 17776 20262 23034 26664 27016 30712 31007 35249 40524 46068 53328 54032 61424 62014 70498 81048 92136 93021 105747 107143 124028 140996 162096 184272 186042 211494 214286 248056 281992 321429 341077 372084 387739 422988 428572 496112 563984 642858 682154 744168 775478 845976 857144 1023231 1163217 1178573 1285716 1364308 1488336 1550956 1691952 1714288 2046462 2326434 2357146 2571432 2728616 3101912 3535719 4092924 4652868 4714292 5142864 5457232 6203824 7071438 8185848 9305736 9428584 10821443 14142876 16371696 18611472 18857168 21642886 28285752 32464329 43285772 56571504 64928658 86571544 119035873 129857316 173143088 238071746 259714632 357107619 476143492 519429264 714215238 952286984 1428430476 1904573968 2856860952 5713721904