Search a number
-
+
10445096970 = 23257111507229
BaseRepresentation
bin10011011101001001…
…11000100000001010
3222221221021220101100
421232210320200022
5132342421100340
64444242402230
7516560600520
oct115644704012
928857256340
1010445096970
11447aa91a50
122036060376
13ca5c8b569
14711306310
15411ecd830
hex26e93880a

10445096970 has 96 divisors (see below), whose sum is σ = 33858414720. Its totient is φ = 2170408320.

The previous prime is 10445096969. The next prime is 10445096999. The reversal of 10445096970 is 7969054401.

10445096970 is a `hidden beast` number, since 10 + 4 + 4 + 509 + 69 + 70 = 666.

10445096970 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 746685 + ... + 760544.

It is an arithmetic number, because the mean of its divisors is an integer number (352691820).

Almost surely, 210445096970 is an apocalyptic number.

10445096970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10445096970 is an abundant number, since it is smaller than the sum of its proper divisors (23413317750).

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

10445096970 is a wasteful number, since it uses less digits than its factorization.

10445096970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507260 (or 1507257 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10445096970 in words is "ten billion, four hundred forty-five million, ninety-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 1507229 3014458 4521687 7536145 9043374 10550603 13565061 15072290 16579519 21101206 22608435 27130122 31651809 33159038 45216870 49738557 52753015 63303618 67825305 82897595 94955427 99477114 105506030 116056633 135650610 149215671 158259045 165795190 189910854 232113266 248692785 298431342 316518090 348169899 474777135 497385570 580283165 696339798 746078355 949554270 1044509697 1160566330 1492156710 1740849495 2089019394 3481698990 5222548485 10445096970