Search a number
-
+
679335325968 = 243136157730931
BaseRepresentation
bin10011110001010111000…
…10100111000100010000
32101221111001021012010110
421320223202213010100
542112234320412333
61240025441401320
7100036363665315
oct11705342470420
92357431235113
10679335325968
112421170991a2
12ab7b0039240
134c0a4171180
1424c46a3cd0c
1512a0ece6063
hex9e2b8a7110

679335325968 has 160 divisors (see below), whose sum is σ = 1924319807872. Its totient is φ = 205236633600.

The previous prime is 679335325967. The next prime is 679335325969. The reversal of 679335325968 is 869523533976.

It is an interprime number because it is at equal distance from previous prime (679335325967) and next prime (679335325969).

It is a super-2 number, since 2×6793353259682 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 679335325899 and 679335325908.

It is not an unprimeable number, because it can be changed into a prime (679335325961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21947463 + ... + 21978393.

Almost surely, 2679335325968 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 679335325968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962159903936).

679335325968 is an abundant number, since it is smaller than the sum of its proper divisors (1244984481904).

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

679335325968 is a wasteful number, since it uses less digits than its factorization.

679335325968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31593 (or 31587 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 66.

The spelling of 679335325968 in words is "six hundred seventy-nine billion, three hundred thirty-five million, three hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 577 624 732 793 976 1154 1464 1586 1731 2308 2379 2928 3172 3462 4616 4758 6344 6924 7501 9232 9516 12688 13848 15002 19032 22503 27696 30004 30931 35197 38064 45006 60008 61862 70394 90012 92793 105591 120016 123724 140788 180024 185586 211182 247448 281576 360048 371172 402103 422364 457561 494896 563152 742344 804206 844728 915122 1206309 1372683 1484688 1608412 1689456 1830244 1886791 2412618 2745366 3216824 3660488 3773582 4825236 5490732 5660373 6433648 7320976 7547164 9650472 10981464 11320746 15094328 17847187 19300944 21962928 22641492 24528283 30188656 35694374 45282984 49056566 53541561 71388748 73584849 90565968 98113132 107083122 142777496 147169698 196226264 214166244 232013431 285554992 294339396 392452528 428332488 464026862 588678792 696040293 856664976 928053724 1088678407 1177357584 1392080586 1856107448 2177356814 2784161172 3266035221 3712214896 4354713628 5568322344 6532070442 8709427256 11136644688 13064140884 14152819291 17418854512 26128281768 28305638582 42458457873 52256563536 56611277164 84916915746 113222554328 169833831492 226445108656 339667662984 679335325968