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10094737428 = 2234174144701
BaseRepresentation
bin10010110011011000…
…10111100000010100
3222001112000210110000
421121230113200110
5131133223044203
64345405131300
7505104565236
oct113154274024
928045023400
1010094737428
114310241706
121b58859b30
13c4b50a819
146ba984256
153e13734a3
hex259b17814

10094737428 has 120 divisors (see below), whose sum is σ = 28624121064. Its totient is φ = 3089664000.

The previous prime is 10094737423. The next prime is 10094737447. The reversal of 10094737428 is 82473749001.

10094737428 is a `hidden beast` number, since 100 + 9 + 473 + 74 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172186884 + 9922550544 = 13122^2 + 99612^2 .

It is a Smith number, since the sum of its digits (45) 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 (10094737423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203478 + ... + 248178.

Almost surely, 210094737428 is an apocalyptic number.

10094737428 is a gapful number since it is divisible by the number (18) 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 10094737428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312060532).

10094737428 is an abundant number, since it is smaller than the sum of its proper divisors (18529383636).

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

10094737428 is a wasteful number, since it uses less digits than its factorization.

10094737428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44775 (or 44764 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10094737428 in words is "ten billion, ninety-four million, seven hundred thirty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 612 697 738 918 1107 1377 1394 1476 1836 2091 2214 2754 2788 3321 4182 4428 5508 6273 6642 8364 12546 13284 18819 25092 37638 44701 56457 75276 89402 112914 134103 178804 225828 268206 402309 536412 759917 804618 1206927 1519834 1609236 1832741 2279751 2413854 3039668 3620781 3665482 4559502 4827708 5498223 6839253 7241562 7330964 9119004 10996446 13678506 14483124 16494669 20517759 21992892 27357012 31156597 32989338 41035518 49484007 61553277 62313194 65978676 82071036 93469791 98968014 123106554 124626388 148452021 186939582 197936028 246213108 280409373 296904042 373879164 560818746 593808084 841228119 1121637492 1682456238 2523684357 3364912476 5047368714 10094737428