Search a number
-
+
51417272471130 = 232519131342122699
BaseRepresentation
bin10111011000011100001000…
…10000101100111001011010
320202001102222010100111122200
423230032010100230321122
523214410033223034010
6301204434025031030
713554526641564636
oct1354160420547132
9222042863314580
1051417272471130
1115423a40956605
125925018625476
13228c8218cca67
14c9a875b7bdc6
155e2734368cc0
hex2ec38442ce5a

51417272471130 has 192 divisors, whose sum is σ = 135140350924800. Its totient is φ = 13563017395200.

The previous prime is 51417272471101. The next prime is 51417272471179. The reversal of 51417272471130 is 3117427271415.

51417272471130 is a `hidden beast` number, since 5 + 1 + 4 + 172 + 7 + 2 + 471 + 1 + 3 + 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 95 ways as a sum of consecutive naturals, for example, 2265166521 + ... + 2265189219.

It is an arithmetic number, because the mean of its divisors is an integer number (703855994400).

Almost surely, 251417272471130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51417272471130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67570175462400).

51417272471130 is an abundant number, since it is smaller than the sum of its proper divisors (83723078453670).

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

51417272471130 is a wasteful number, since it uses less digits than its factorization.

51417272471130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23637 (or 23634 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 51417272471130 in words is "fifty-one trillion, four hundred seventeen billion, two hundred seventy-two million, four hundred seventy-one thousand, one hundred thirty".