Search a number
-
+
35100070008 = 23312711515771
BaseRepresentation
bin100000101100001000…
…001001000001111000
310100121011222022011220
4200230020021001320
51033341104220013
624042540152040
72351545446423
oct405410110170
9110534868156
1035100070008
1113982090123
126976b38620
133404b902c3
1419ad9189ba
15da674ab23
hex82c209078

35100070008 has 32 divisors (see below), whose sum is σ = 88441128960. Its totient is φ = 11607896160.

The previous prime is 35100070003. The next prime is 35100070043. The reversal of 35100070008 is 80007000153.

It is a super-2 number, since 2×351000700082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35100070008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35100070003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5754838 + ... + 5760933.

It is an arithmetic number, because the mean of its divisors is an integer number (2763785280).

Almost surely, 235100070008 is an apocalyptic number.

It is an amenable number.

35100070008 is an abundant number, since it is smaller than the sum of its proper divisors (53341058952).

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

35100070008 is a wasteful number, since it uses less digits than its factorization.

35100070008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515907 (or 11515903 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 35100070008 in words is "thirty-five billion, one hundred million, seventy thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 11515771 23031542 34547313 46063084 69094626 92126168 138189252 276378504 1462502917 2925005834 4387508751 5850011668 8775017502 11700023336 17550035004 35100070008