Search a number
-
+
60207846342 = 237219167233277
BaseRepresentation
bin111000000100101010…
…101101001111000110
312202101222200111022220
4320010222231033012
51441301202040332
643354211033210
74231002151500
oct700452551706
9182358614286
1060207846342
112359683a0a6
12b80359b806
1358a68309a7
142cb2318d70
151875b0bd2c
hexe04aad3c6

60207846342 has 192 divisors, whose sum is σ = 149505108480. Its totient is φ = 16071519744.

The previous prime is 60207846311. The next prime is 60207846389. The reversal of 60207846342 is 24364870206.

It is a super-2 number, since 2×602078463422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 60207846294 and 60207846303.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 217356708 + ... + 217356984.

It is an arithmetic number, because the mean of its divisors is an integer number (778672440).

Almost surely, 260207846342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60207846342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74752554240).

60207846342 is an abundant number, since it is smaller than the sum of its proper divisors (89297262138).

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

60207846342 is a wasteful number, since it uses less digits than its factorization.

60207846342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 60207846342 in words is "sixty billion, two hundred seven million, eight hundred forty-six thousand, three hundred forty-two".