Search a number
-
+
106069093956 = 2232717293127541
BaseRepresentation
bin110001011001000110…
…1011110111001000100
3101010210010201021000100
41202302031132321010
53214212142001311
6120421044444100
710443330264660
oct1426215367104
9333703637010
10106069093956
1140a90269231
12186823a9630
13a004cba7b7
1451c30d78a0
152b5be6ea56
hex18b235ee44

106069093956 has 288 divisors, whose sum is σ = 346473953280. Its totient is φ = 26649907200.

The previous prime is 106069093919. The next prime is 106069093957. The reversal of 106069093956 is 659390960601.

It is a happy number.

It is a super-2 number, since 2×1060690939562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106069093957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3837546 + ... + 3865086.

It is an arithmetic number, because the mean of its divisors is an integer number (1203034560).

Almost surely, 2106069093956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106069093956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173236976640).

106069093956 is an abundant number, since it is smaller than the sum of its proper divisors (240404859324).

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

106069093956 is a wasteful number, since it uses less digits than its factorization.

106069093956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27635 (or 27630 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 106069093956 in words is "one hundred six billion, sixty-nine million, ninety-three thousand, nine hundred fifty-six".