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10139950890 = 23252331158017
BaseRepresentation
bin10010111000110001…
…10101111100101010
3222011200002212122200
421130120311330222
5131231311412030
64354102201030
7506164106016
oct113430657452
928150085580
1010139950890
114333813203
121b6ba23176
13c579ab354
146c2993546
153e5304d60
hex25c635f2a

10139950890 has 96 divisors (see below), whose sum is σ = 28397730816. Its totient is φ = 2502973440.

The previous prime is 10139950871. The next prime is 10139950897. The reversal of 10139950890 is 9805993101.

10139950890 is a `hidden beast` number, since 1 + 0 + 139 + 9 + 508 + 9 + 0 = 666.

It is a super-2 number, since 2×101399508902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10139950897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14839 + ... + 143178.

It is an arithmetic number, because the mean of its divisors is an integer number (295809696).

Almost surely, 210139950890 is an apocalyptic number.

10139950890 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 10139950890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198865408).

10139950890 is an abundant number, since it is smaller than the sum of its proper divisors (18257779926).

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

10139950890 is a wasteful number, since it uses less digits than its factorization.

10139950890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158084 (or 158081 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 10139950890 in words is "ten billion, one hundred thirty-nine million, nine hundred fifty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 31 45 46 62 69 90 93 115 138 155 186 207 230 279 310 345 414 465 558 690 713 930 1035 1395 1426 2070 2139 2790 3565 4278 6417 7130 10695 12834 21390 32085 64170 158017 316034 474051 790085 948102 1422153 1580170 2370255 2844306 3634391 4740510 4898527 7110765 7268782 9797054 10903173 14221530 14695581 18171955 21806346 24492635 29391162 32709519 36343910 44086743 48985270 54515865 65419038 73477905 88173486 109031730 112666121 146955810 163547595 220433715 225332242 327095190 337998363 440867430 563330605 675996726 1013995089 1126661210 1689991815 2027990178 3379983630 5069975445 10139950890