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10516155150 = 2352198294451
BaseRepresentation
bin10011100101100111…
…11100101100001110
31000010220000000212210
421302303330230032
5133014113431100
64455301411250
7521412562314
oct116263745416
930126000783
1010516155150
114507106016
122055a09b26
13cb790a917
1471a9220b4
15418367c50
hex272cfcb0e

10516155150 has 96 divisors (see below), whose sum is σ = 27491990400. Its totient is φ = 2652912000.

The previous prime is 10516155119. The next prime is 10516155157. The reversal of 10516155150 is 5155161501.

It is a super-2 number, since 2×105161551502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516155157) 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 47 ways as a sum of consecutive naturals, for example, 2360425 + ... + 2364875.

It is an arithmetic number, because the mean of its divisors is an integer number (286374900).

Almost surely, 210516155150 is an apocalyptic number.

10516155150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10516155150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745995200).

10516155150 is an abundant number, since it is smaller than the sum of its proper divisors (16975835250).

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

10516155150 is a wasteful number, since it uses less digits than its factorization.

10516155150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 10516155150 in words is "ten billion, five hundred sixteen million, one hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 829 950 1425 1658 2487 2850 4145 4451 4974 8290 8902 12435 13353 15751 20725 22255 24870 26706 31502 41450 44510 47253 62175 66765 78755 84569 94506 111275 124350 133530 157510 169138 222550 236265 253707 333825 393775 422845 472530 507414 667650 787550 845690 1181325 1268535 2114225 2362650 2537070 3689879 4228450 6342675 7379758 11069637 12685350 18449395 22139274 36898790 55348185 70107701 92246975 110696370 140215402 184493950 210323103 276740925 350538505 420646206 553481850 701077010 1051615515 1752692525 2103231030 3505385050 5258077575 10516155150