Search a number
-
+
2134678999776 = 2531719312578641
BaseRepresentation
bin11111000100000100110…
…010001001001011100000
321120001222110010220121220
4133010010302021023200
5234433310310443101
64312354043215040
7310140223054131
oct37040462111340
97501873126556
102134678999776
1175334870a784
122a586b817480
131263b792620b
147546753bc88
153a7db9db636
hex1f104c892e0

2134678999776 has 384 divisors, whose sum is σ = 6472722493440. Its totient is φ = 611529523200.

The previous prime is 2134678999769. The next prime is 2134678999879. The reversal of 2134678999776 is 6779998764312.

It is a happy number.

It is a super-3 number, since 3×21346789997763 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247036416 + ... + 247045056.

It is an arithmetic number, because the mean of its divisors is an integer number (16856048160).

Almost surely, 22134678999776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134678999776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236361246720).

2134678999776 is an abundant number, since it is smaller than the sum of its proper divisors (4338043493664).

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

2134678999776 is a wasteful number, since it uses less digits than its factorization.

2134678999776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8970 counting only the distinct ones).

The product of its digits is 1728324864, while the sum is 78.

The spelling of 2134678999776 in words is "two trillion, one hundred thirty-four billion, six hundred seventy-eight million, nine hundred ninety-nine thousand, seven hundred seventy-six".