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10214176060 = 2251173647983
BaseRepresentation
bin10011000001100111…
…11111010100111100
3222100211202220110001
421200303333110330
5131404312113220
64405313124044
7511055030644
oct114063772474
928324686401
1010214176060
1143716aa720
121b90859624
13c6a19907a
146cc795524
153ebab780a
hex260cff53c

10214176060 has 96 divisors (see below), whose sum is σ = 23781123072. Its totient is φ = 3653982720.

The previous prime is 10214176051. The next prime is 10214176067. The reversal of 10214176060 is 6067141201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214176067) 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, 10390329 + ... + 10391311.

It is an arithmetic number, because the mean of its divisors is an integer number (247720032).

Almost surely, 210214176060 is an apocalyptic number.

10214176060 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 10214176060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890561536).

10214176060 is an abundant number, since it is smaller than the sum of its proper divisors (13566947012).

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

10214176060 is a wasteful number, since it uses less digits than its factorization.

10214176060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 10214176060 in words is "ten billion, two hundred fourteen million, one hundred seventy-six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 647 730 803 983 1294 1460 1606 1966 2588 3212 3235 3932 4015 4915 6470 7117 8030 9830 10813 12940 14234 16060 19660 21626 28468 35585 43252 47231 54065 71170 71759 94462 108130 142340 143518 188924 216260 236155 287036 358795 472310 519541 636001 717590 789349 944620 1039082 1272002 1435180 1578698 2078164 2544004 2597705 3157396 3180005 3946745 5195410 6360010 6996011 7893490 10390820 12720020 13992022 15786980 27984044 34980055 46428073 69960110 92856146 139920220 185712292 232140365 464280730 510708803 928561460 1021417606 2042835212 2553544015 5107088030 10214176060