Search a number
-
+
10708966992 = 24343139163229
BaseRepresentation
bin10011111100100110…
…11101111001010000
31000122022210220000010
421332103131321100
5133412443420432
64530350154520
7526243501053
oct117623357120
930568726003
1010708966992
1145a5a29449
1220aa4b2a40
131018849179
14738392a9a
1542a2523cc
hex27e4dde50

10708966992 has 160 divisors (see below), whose sum is σ = 28812044800. Its totient is φ = 3425296896.

The previous prime is 10708966973. The next prime is 10708966999. The reversal of 10708966992 is 29966980701.

It is a super-2 number, since 2×107089669922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10708966999) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46763934 + ... + 46764162.

It is an arithmetic number, because the mean of its divisors is an integer number (180075280).

Almost surely, 210708966992 is an apocalyptic number.

10708966992 is a gapful number since it is divisible by the number (12) 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 10708966992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406022400).

10708966992 is an abundant number, since it is smaller than the sum of its proper divisors (18103077808).

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

10708966992 is a wasteful number, since it uses less digits than its factorization.

10708966992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 10708966992 in words is "ten billion, seven hundred eight million, nine hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 139 163 172 229 258 278 326 344 417 458 489 516 556 652 687 688 834 916 978 1032 1112 1304 1374 1668 1832 1956 2064 2224 2608 2748 3336 3664 3912 5496 5977 6672 7009 7824 9847 10992 11954 14018 17931 19694 21027 22657 23908 28036 29541 31831 35862 37327 39388 42054 45314 47816 56072 59082 63662 67971 71724 74654 78776 84108 90628 95493 95632 111981 112144 118164 127324 135942 143448 149308 157552 168216 181256 190986 223962 236328 254648 271884 286896 298616 336432 362512 381972 447924 472656 509296 543768 597232 763944 895848 974251 1087536 1368733 1527888 1605061 1791696 1948502 2737466 2922753 3210122 3897004 4106199 4815183 5188453 5474932 5845506 6420244 7794008 8212398 9630366 10376906 10949864 11691012 12840488 15565359 15588016 16424796 19260732 20753812 21899728 23382024 25680976 31130718 32849592 38521464 41507624 46764048 62261436 65699184 77042928 83015248 124522872 223103479 249045744 446206958 669310437 892413916 1338620874 1784827832 2677241748 3569655664 5354483496 10708966992