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10261557150 = 23521316731511
BaseRepresentation
bin10011000111010001…
…01110111110011110
3222111010221010002020
421203220232332132
5132003424312100
64414124441010
7512201540145
oct114350567636
928433833066
1010261557150
114396421849
121ba46a9166
13c76c48410
146d4baa75c
15400d265a0
hex263a2ef9e

10261557150 has 96 divisors (see below), whose sum is σ = 27571235328. Its totient is φ = 2510716800.

The previous prime is 10261557143. The next prime is 10261557161. The reversal of 10261557150 is 5175516201.

It is a happy number.

It is a super-2 number, since 2×102615571502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309895 + ... + 341405.

It is an arithmetic number, because the mean of its divisors is an integer number (287200368).

Almost surely, 210261557150 is an apocalyptic number.

10261557150 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 10261557150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13785617664).

10261557150 is an abundant number, since it is smaller than the sum of its proper divisors (17309678178).

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

10261557150 is a wasteful number, since it uses less digits than its factorization.

10261557150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31706 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 10261557150 in words is "ten billion, two hundred sixty-one million, five hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 167 195 325 334 390 501 650 835 975 1002 1670 1950 2171 2505 4175 4342 5010 6513 8350 10855 12525 13026 21710 25050 31511 32565 54275 63022 65130 94533 108550 157555 162825 189066 315110 325650 409643 472665 787775 819286 945330 1228929 1575550 2048215 2363325 2457858 4096430 4726650 5262337 6144645 10241075 10524674 12289290 15787011 20482150 26311685 30723225 31574022 52623370 61446450 68410381 78935055 131558425 136820762 157870110 205231143 263116850 342051905 394675275 410462286 684103810 789350550 1026155715 1710259525 2052311430 3420519050 5130778575 10261557150