Search a number
-
+
10169940750 = 235343973251
BaseRepresentation
bin10010111100010110…
…01111101100001110
3222020202112112000020
421132023033230032
5131312001101000
64401053043010
7510010033014
oct113613175416
928222475006
1010169940750
114349737012
121b79a86466
13c60c7b828
146c695c8b4
153e7c7aba0
hex25e2cfb0e

10169940750 has 128 divisors (see below), whose sum is σ = 26250352128. Its totient is φ = 2620800000.

The previous prime is 10169940721. The next prime is 10169940773. The reversal of 10169940750 is 5704996101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3126625 + ... + 3129875.

It is an arithmetic number, because the mean of its divisors is an integer number (205080876).

Almost surely, 210169940750 is an apocalyptic number.

10169940750 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 10169940750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125176064).

10169940750 is an abundant number, since it is smaller than the sum of its proper divisors (16080411378).

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

10169940750 is a wasteful number, since it uses less digits than its factorization.

10169940750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 10169940750 in words is "ten billion, one hundred sixty-nine million, nine hundred forty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 97 125 129 150 194 215 250 258 291 375 430 485 582 645 750 970 1075 1290 1455 2150 2425 2910 3225 3251 4171 4850 5375 6450 6502 7275 8342 9753 10750 12125 12513 14550 16125 16255 19506 20855 24250 25026 32250 32510 36375 41710 48765 62565 72750 81275 97530 104275 125130 139793 162550 208550 243825 279586 312825 315347 406375 419379 487650 521375 625650 630694 698965 812750 838758 946041 1042750 1219125 1397930 1564125 1576735 1892082 2096895 2438250 3128250 3153470 3494825 4193790 4730205 6989650 7883675 9460410 10484475 13559921 15767350 17474125 20968950 23651025 27119842 34948250 39418375 40679763 47302050 52422375 67799605 78836750 81359526 104844750 118255125 135599210 203398815 236510250 338998025 406797630 677996050 1016994075 1694990125 2033988150 3389980250 5084970375 10169940750