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11835900006 = 2373122214093
BaseRepresentation
bin10110000010111100…
…11000000001100110
31010112212100000110220
423001132120001212
5143214442300011
65234244225210
7566206330050
oct130136300146
933485300426
1011835900006
115024069947
12236399b206
131168169b38
14803d028d0
15494158506
hex2c1798066

11835900006 has 64 divisors (see below), whose sum is σ = 27945578496. Its totient is φ = 3270326400.

The previous prime is 11835899989. The next prime is 11835900023. The reversal of 11835900006 is 60000953811.

It is an interprime number because it is at equal distance from previous prime (11835899989) and next prime (11835900023).

It is a self number, because there is not a number n which added to its sum of digits gives 11835900006.

It is a congruent number.

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, 2889696 + ... + 2893788.

It is an arithmetic number, because the mean of its divisors is an integer number (436649664).

Almost surely, 211835900006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11835900006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972789248).

11835900006 is an abundant number, since it is smaller than the sum of its proper divisors (16109678490).

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

11835900006 is a wasteful number, since it uses less digits than its factorization.

11835900006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 11835900006 in words is "eleven billion, eight hundred thirty-five million, nine hundred thousand, six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 2221 4093 4442 6663 8186 12279 13326 15547 24558 28651 31094 46641 57302 68851 85953 93282 126883 137702 171906 206553 253766 380649 413106 481957 761298 888181 963914 1445871 1776362 2664543 2891742 5329086 9090553 18181106 27271659 54543318 63633871 127267742 190901613 281807143 381803226 563614286 845421429 1690842858 1972650001 3945300002 5917950003 11835900006