Search a number
-
+
10287698106 = 2372341259751
BaseRepresentation
bin10011001010011000…
…11101000010111010
3222112222010012201210
421211030131002322
5132032122314411
64420501023550
7512636663640
oct114514350272
928488105653
1010287698106
1143aa156944
121bb13b4bb6
13c7c49ba3a
146d8453190
1540328bca6
hex26531d0ba

10287698106 has 64 divisors (see below), whose sum is σ = 25135681536. Its totient is φ = 2742960000.

The previous prime is 10287698089. The next prime is 10287698107. The reversal of 10287698106 is 60189678201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10287698107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90270 + ... + 169481.

It is an arithmetic number, because the mean of its divisors is an integer number (392745024).

Almost surely, 210287698106 is an apocalyptic number.

10287698106 is an abundant number, since it is smaller than the sum of its proper divisors (14847983430).

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

10287698106 is a wasteful number, since it uses less digits than its factorization.

10287698106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259827.

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 10287698106 in words is "ten billion, two hundred eighty-seven million, six hundred ninety-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 69 82 123 138 161 246 287 322 483 574 861 943 966 1722 1886 2829 5658 6601 13202 19803 39606 259751 519502 779253 1558506 1818257 3636514 5454771 5974273 10649791 10909542 11948546 17922819 21299582 31949373 35845638 41819911 63898746 74548537 83639822 125459733 149097074 223645611 244945193 250919466 447291222 489890386 734835579 1469671158 1714616351 3429232702 5143849053 10287698106