Search a number
-
+
126385561170 = 2355112795441
BaseRepresentation
bin111010110110100101…
…0101001111001010010
3110002020000201201200000
41311231022221321102
54032314200424140
6134021041110430
712062644354551
oct1655512517122
9402200651600
10126385561170
1149666399800
12205b2328416
13bbc210a62b
14618d43bd98
15344a89da30
hex1d6d2a9e52

126385561170 has 288 divisors, whose sum is σ = 379379669760. Its totient is φ = 30245529600.

The previous prime is 126385561147. The next prime is 126385561201. The reversal of 126385561170 is 71165583621.

126385561170 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 85 + 561 + 1 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23225650 + ... + 23231090.

It is an arithmetic number, because the mean of its divisors is an integer number (1317290520).

Almost surely, 2126385561170 is an apocalyptic number.

126385561170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126385561170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189689834880).

126385561170 is an abundant number, since it is smaller than the sum of its proper divisors (252994108590).

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

126385561170 is a wasteful number, since it uses less digits than its factorization.

126385561170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 126385561170 in words is "one hundred twenty-six billion, three hundred eighty-five million, five hundred sixty-one thousand, one hundred seventy".