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10052076150 = 23252179124793
BaseRepresentation
bin10010101110010011…
…01000001001110110
3221221112202101011200
421113021220021312
5131041312414100
64341242513330
7504046144314
oct112711501166
927845671150
1010052076150
114299153656
121b46505846
13c4272186c
146b503b0b4
153dc747e00
hex257268276

10052076150 has 72 divisors (see below), whose sum is σ = 27157670280. Its totient is φ = 2665557120.

The previous prime is 10052076143. The next prime is 10052076157. The reversal of 10052076150 is 5167025001.

It is an interprime number because it is at equal distance from previous prime (10052076143) and next prime (10052076157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052076157) 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, 18154 + ... + 142946.

It is an arithmetic number, because the mean of its divisors is an integer number (377189865).

Almost surely, 210052076150 is an apocalyptic number.

10052076150 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 10052076150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578835140).

10052076150 is an abundant number, since it is smaller than the sum of its proper divisors (17105594130).

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

10052076150 is a wasteful number, since it uses less digits than its factorization.

10052076150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124990 (or 124982 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10052076150 in words is "ten billion, fifty-two million, seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 179 225 358 450 537 895 1074 1611 1790 2685 3222 4475 5370 8055 8950 13425 16110 26850 40275 80550 124793 249586 374379 623965 748758 1123137 1247930 1871895 2246274 3119825 3743790 5615685 6239650 9359475 11231370 18718950 22337947 28078425 44675894 56156850 67013841 111689735 134027682 201041523 223379470 335069205 402083046 558448675 670138410 1005207615 1116897350 1675346025 2010415230 3350692050 5026038075 10052076150