Search a number
-
+
932101426116 = 22327212721812
BaseRepresentation
bin11011001000001011001…
…00110000101111000100
310022002220202021111022100
431210011210300233010
5110232420431113431
61552111304232100
7124225225253100
oct15440544605704
93262822244270
10932101426116
1132a335a56423
12130792a6b630
1369b8731b1c3
143318496c900
15193a58a04e6
hexd905930bc4

932101426116 has 243 divisors, whose sum is σ = 2777920418637. Its totient is φ = 262757960640.

The previous prime is 932101426111. The next prime is 932101426121. The reversal of 932101426116 is 611624101239.

It is a happy number.

The square root of 932101426116 is 965454.

It is a perfect power (a square), and thus also a powerful number.

932101426116 is a `hidden beast` number, since 9 + 3 + 21 + 0 + 14 + 2 + 611 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (932101426111) and next prime (932101426121).

It can be written as a sum of positive squares in only one way, i.e., 10271011716 + 921830414400 = 101346^2 + 960120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (932101426111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5149731546 + ... + 5149731726.

Almost surely, 2932101426116 is an apocalyptic number.

932101426116 is the 965454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 932101426116

932101426116 is an abundant number, since it is smaller than the sum of its proper divisors (1845818992521).

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

932101426116 is a wasteful number, since it uses less digits than its factorization.

932101426116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 932101426116 by its sum of digits (36), we get a square (33555651340176 = 57927242).

932101426116 divided by its sum of digits (36) gives a square (25891706281 = 1609092).

The spelling of 932101426116 in words is "nine hundred thirty-two billion, one hundred one million, four hundred twenty-six thousand, one hundred sixteen".