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10885378950 = 2325227189261
BaseRepresentation
bin10100010001101000…
…11011001110000110
31001002121202112201100
422020310123032012
5134243124111300
65000051240530
7533515123455
oct121064331606
931077675640
1010885378950
114686570356
1221395a9146
131046264b44
14753994b9c
1543a99c700
hex288d1b386

10885378950 has 72 divisors (see below), whose sum is σ = 29353630176. Its totient is φ = 2892024000.

The previous prime is 10885378937. The next prime is 10885378957. The reversal of 10885378950 is 5987358801.

10885378950 is a `hidden beast` number, since 10 + 8 + 8 + 537 + 8 + 95 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10885378957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77320 + ... + 166580.

It is an arithmetic number, because the mean of its divisors is an integer number (407689308).

Almost surely, 210885378950 is an apocalyptic number.

10885378950 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 10885378950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676815088).

10885378950 is an abundant number, since it is smaller than the sum of its proper divisors (18468251226).

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

10885378950 is a wasteful number, since it uses less digits than its factorization.

10885378950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89550 (or 89542 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10885378950 in words is "ten billion, eight hundred eighty-five million, three hundred seventy-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 271 450 542 813 1355 1626 2439 2710 4065 4878 6775 8130 12195 13550 20325 24390 40650 60975 89261 121950 178522 267783 446305 535566 803349 892610 1338915 1606698 2231525 2677830 4016745 4463050 6694575 8033490 13389150 20083725 24189731 40167450 48379462 72569193 120948655 145138386 217707579 241897310 362845965 435415158 604743275 725691930 1088537895 1209486550 1814229825 2177075790 3628459650 5442689475 10885378950