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10706325520 = 2451147379683
BaseRepresentation
bin10011111100010010…
…11001000000010000
31000122010211200120211
421332021121000100
5133411304404040
64530213413504
7526212160012
oct117611310020
930563750524
1010706325520
1145a4494910
1220a963a294
131018132a77
14737ca61b2
15429dce8ea
hex27e259010

10706325520 has 160 divisors (see below), whose sum is σ = 27846789120. Its totient is φ = 3794757120.

The previous prime is 10706325493. The next prime is 10706325529. The reversal of 10706325520 is 2552360701.

It is a super-2 number, since 2×107063255202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10706325529) by changing a digit.

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, 15675099 + ... + 15675781.

It is an arithmetic number, because the mean of its divisors is an integer number (174042432).

Almost surely, 210706325520 is an apocalyptic number.

10706325520 is a gapful number since it is divisible by the number (10) 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 10706325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923394560).

10706325520 is an abundant number, since it is smaller than the sum of its proper divisors (17140463600).

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

10706325520 is a wasteful number, since it uses less digits than its factorization.

10706325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 10706325520 in words is "ten billion, seven hundred six million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 379 440 470 517 683 752 758 880 940 1034 1366 1516 1880 1895 2068 2585 2732 3032 3415 3760 3790 4136 4169 5170 5464 6064 6830 7513 7580 8272 8338 10340 10928 13660 15026 15160 16676 17813 20680 20845 27320 30052 30320 32101 33352 35626 37565 41360 41690 54640 60104 64202 66704 71252 75130 83380 89065 120208 128404 142504 150260 160505 166760 178130 195943 256808 258857 285008 300520 321010 333520 353111 356260 391886 513616 517714 601040 642020 706222 712520 783772 979715 1035428 1284040 1294285 1412444 1425040 1567544 1765555 1959430 2070856 2568080 2588570 2824888 2847427 3135088 3531110 3918860 4141712 5177140 5649776 5694854 7062220 7837720 10354280 11389708 12166279 14124440 14237135 15675440 20708560 22779416 24332558 28248880 28474270 45558832 48665116 56948540 60831395 97330232 113897080 121662790 133829069 194660464 227794160 243325580 267658138 486651160 535316276 669145345 973302320 1070632552 1338290690 2141265104 2676581380 5353162760 10706325520