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10552116740 = 22511193257967
BaseRepresentation
bin10011101001111010…
…01000011000000100
31000020101200001220112
421310331020120010
5133102320213430
64503024252152
7522330340514
oct116475103004
930211601815
1010552116740
114525438540
122065a71058
13cc21bc279
14721603844
1541b5bd195
hex274f48604

10552116740 has 96 divisors (see below), whose sum is σ = 24418969344. Its totient is φ = 3798466560.

The previous prime is 10552116737. The next prime is 10552116749. The reversal of 10552116740 is 4761125501.

It is a super-2 number, since 2×105521167402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552116697 and 10552116706.

It is not an unprimeable number, because it can be changed into a prime (10552116749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911737 + ... + 10912703.

It is an arithmetic number, because the mean of its divisors is an integer number (254364264).

Almost surely, 210552116740 is an apocalyptic number.

10552116740 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 10552116740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209484672).

10552116740 is an abundant number, since it is smaller than the sum of its proper divisors (13866852604).

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

10552116740 is a wasteful number, since it uses less digits than its factorization.

10552116740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 10552116740 in words is "ten billion, five hundred fifty-two million, one hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 257 386 514 772 965 967 1028 1285 1930 1934 2123 2570 2827 3860 3868 4246 4835 5140 5654 8492 9670 10615 10637 11308 14135 19340 21230 21274 28270 42460 42548 49601 53185 56540 99202 106370 186631 198404 212740 248005 248519 373262 496010 497038 545611 746524 933155 992020 994076 1091222 1242595 1866310 2052941 2182444 2485190 2728055 2733709 3732620 4105882 4970380 5456110 5467418 8211764 10264705 10912220 10934836 13668545 20529410 27337090 41058820 47964167 54674180 95928334 191856668 239820835 479641670 527605837 959283340 1055211674 2110423348 2638029185 5276058370 10552116740