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13952975250 = 2353171676553
BaseRepresentation
bin11001111111010100…
…11000000110010010
31100000101222120202010
430333222120012102
5212033430202000
610224312403350
71002524222064
oct147752300622
940011876663
1013952975250
115a100aa905
1228549a6556
131414955a96
14965155734
15569e44d50
hex33fa98192

13952975250 has 128 divisors (see below), whose sum is σ = 37101722112. Its totient is φ = 3480422400.

The previous prime is 13952975249. The next prime is 13952975251. The reversal of 13952975250 is 5257925931.

13952975250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13952975249) and next prime (13952975251).

It is a super-2 number, since 2×139529752502 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13952975250.

It is not an unprimeable number, because it can be changed into a prime (13952975251) 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 63 ways as a sum of consecutive naturals, for example, 2125974 + ... + 2132526.

It is an arithmetic number, because the mean of its divisors is an integer number (289857204).

Almost surely, 213952975250 is an apocalyptic number.

13952975250 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 13952975250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550861056).

13952975250 is an abundant number, since it is smaller than the sum of its proper divisors (23148746862).

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

13952975250 is a wasteful number, since it uses less digits than its factorization.

13952975250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The spelling of 13952975250 in words is "thirteen billion, nine hundred fifty-two million, nine hundred seventy-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 167 170 250 255 334 375 425 501 510 750 835 850 1002 1275 1670 2125 2505 2550 2839 4175 4250 5010 5678 6375 6553 8350 8517 12525 12750 13106 14195 17034 19659 20875 25050 28390 32765 39318 41750 42585 62625 65530 70975 85170 98295 111401 125250 141950 163825 196590 212925 222802 327650 334203 354875 425850 491475 557005 668406 709750 819125 982950 1064625 1094351 1114010 1638250 1671015 2129250 2188702 2457375 2785025 3283053 3342030 4914750 5471755 5570050 6566106 8355075 10943510 13925125 16415265 16710150 18603967 27358775 27850250 32830530 37207934 41775375 54717550 55811901 82076325 83550750 93019835 111623802 136793875 164152650 186039670 273587750 279059505 410381625 465099175 558119010 820763250 930198350 1395297525 2325495875 2790595050 4650991750 6976487625 13952975250