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14850152680 = 2351153718969
BaseRepresentation
bin11011101010010001…
…10101100011101000
31102022221011220210211
431311020311203220
5220403114341210
610453322150504
71034000133526
oct156510654350
942287156724
1014850152680
116330584560
122a65352434
1315287a17bc
14a0c379316
155bdab538a
hex3752358e8

14850152680 has 128 divisors (see below), whose sum is σ = 37665388800. Its totient is φ = 5222963200.

The previous prime is 14850152651. The next prime is 14850152687. The reversal of 14850152680 is 8625105841.

It is a happy number.

14850152680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148501526802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14850152687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651236 + ... + 1660204.

It is an arithmetic number, because the mean of its divisors is an integer number (294260850).

Almost surely, 214850152680 is an apocalyptic number.

14850152680 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 14850152680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832694400).

14850152680 is an abundant number, since it is smaller than the sum of its proper divisors (22815236120).

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

14850152680 is a wasteful number, since it uses less digits than its factorization.

14850152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 14850152680 in words is "fourteen billion, eight hundred fifty million, one hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 71 88 106 110 142 212 220 265 284 355 424 440 530 568 583 710 781 1060 1166 1420 1562 2120 2332 2840 2915 3124 3763 3905 4664 5830 6248 7526 7810 8969 11660 15052 15620 17938 18815 23320 30104 31240 35876 37630 41393 44845 71752 75260 82786 89690 98659 150520 165572 179380 197318 206965 331144 358760 394636 413930 475357 493295 636799 789272 827860 950714 986590 1273598 1655720 1901428 1973180 2376785 2547196 3183995 3802856 3946360 4753570 5094392 5228927 6367990 7004789 9507140 10457854 12735980 14009578 19014280 20915708 25471960 26144635 28019156 33750347 35023945 41831416 52289270 56038312 67500694 70047890 104578540 135001388 140095780 168751735 209157080 270002776 280191560 337503470 371253817 675006940 742507634 1350013880 1485015268 1856269085 2970030536 3712538170 7425076340 14850152680