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10073689794 = 23373543877
BaseRepresentation
bin10010110000111000…
…00100111011000010
3222000001102110112000
421120130010323002
5131112331033134
64343334044430
7504430644000
oct113034047302
928001373460
1010073689794
1142aa376273
121b517a9716
13c4704b5bc
146b7c65a70
153de5b6e99
hex258704ec2

10073689794 has 64 divisors (see below), whose sum is σ = 26106144000. Its totient is φ = 2878191792.

The previous prime is 10073689771. The next prime is 10073689817. The reversal of 10073689794 is 49798637001.

It is a happy number.

10073689794 is a `hidden beast` number, since 100 + 7 + 368 + 97 + 94 = 666.

It is an interprime number because it is at equal distance from previous prime (10073689771) and next prime (10073689817).

It is a super-3 number, since 3×100736897943 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10073689794.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253417 + ... + 290460.

It is an arithmetic number, because the mean of its divisors is an integer number (407908500).

Almost surely, 210073689794 is an apocalyptic number.

10073689794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10073689794 is an abundant number, since it is smaller than the sum of its proper divisors (16032454206).

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

10073689794 is an equidigital number, since it uses as much as digits as its factorization.

10073689794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543909 (or 543889 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10073689794 in words is "ten billion, seventy-three million, six hundred eighty-nine thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2646 3087 6174 9261 18522 543877 1087754 1631631 3263262 3807139 4894893 7614278 9789786 11421417 14684679 22842834 26649973 29369358 34264251 53299946 68528502 79949919 102792753 159899838 186549811 205585506 239849757 373099622 479699514 559649433 719549271 1119298866 1439098542 1678948299 3357896598 5036844897 10073689794