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126610771104 = 2532439620733
BaseRepresentation
bin111010111101010010…
…1110000110010100000
3110002210201111120121200
41311322211300302200
54033244324133404
6134055244121200
712101350540356
oct1657245606240
9402721446550
10126610771104
1149771530314
1220655836200
13bc2998054c
1461b13037d6
153460537839
hex1d7a970ca0

126610771104 has 36 divisors (see below), whose sum is σ = 360049381146. Its totient is φ = 42203590272.

The previous prime is 126610771103. The next prime is 126610771109. The reversal of 126610771104 is 401177016621.

126610771104 is a `hidden beast` number, since 1 + 26 + 610 + 7 + 7 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104006250000 + 22604521104 = 322500^2 + 150348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (126610771103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219810079 + ... + 219810654.

Almost surely, 2126610771104 is an apocalyptic number.

It is an amenable number.

126610771104 is an abundant number, since it is smaller than the sum of its proper divisors (233438610042).

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

126610771104 is a wasteful number, since it uses less digits than its factorization.

126610771104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439620749 (or 439620738 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 126610771104 its reverse (401177016621), we get a palindrome (527787787725).

The spelling of 126610771104 in words is "one hundred twenty-six billion, six hundred ten million, seven hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439620733 879241466 1318862199 1758482932 2637724398 3516965864 3956586597 5275448796 7033931728 7913173194 10550897592 14067863456 15826346388 21101795184 31652692776 42203590368 63305385552 126610771104