Search a number
-
+
10150675752 = 2337253162859
BaseRepresentation
bin10010111010000011…
…10000010100101000
3222012102021202101210
421131001300110220
5131242033111002
64355124113120
7506354214600
oct113501602450
928172252353
1010150675752
114339878a28
121b735357a0
13c59c94b19
146c4185c00
153e622296c
hex25d070528

10150675752 has 96 divisors (see below), whose sum is σ = 30076984800. Its totient is φ = 2845454976.

The previous prime is 10150675751. The next prime is 10150675783. The reversal of 10150675752 is 25757605101.

It is a self number, because there is not a number n which added to its sum of digits gives 10150675752.

It is not an unprimeable number, because it can be changed into a prime (10150675751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19102 + ... + 143757.

It is an arithmetic number, because the mean of its divisors is an integer number (313301925).

Almost surely, 210150675752 is an apocalyptic number.

10150675752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150675752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038492400).

10150675752 is an abundant number, since it is smaller than the sum of its proper divisors (19926309048).

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

10150675752 is a wasteful number, since it uses less digits than its factorization.

10150675752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162935 (or 162924 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 10150675752 in words is "ten billion, one hundred fifty million, six hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4452 5194 7791 8904 10388 15582 20776 31164 62328 162859 325718 488577 651436 977154 1140013 1302872 1954308 2280026 3420039 3908616 4560052 6840078 7980091 8631527 9120104 13680156 15960182 17263054 23940273 25894581 27360312 31920364 34526108 47880546 51789162 60420689 63840728 69052216 95761092 103578324 120841378 181262067 191522184 207156648 241682756 362524134 422944823 483365512 725048268 845889646 1268834469 1450096536 1691779292 2537668938 3383558584 5075337876 10150675752