Search a number
-
+
980013999978 = 2331331193353661
BaseRepresentation
bin11100100001011010110…
…00101110011101101010
310110200120212020102121000
432100231120232131222
5112024032040444403
62030113501055430
7130542442361256
oct16205530563552
93420525212530
10980013999978
11348692399302
12139b24857576
1371551783320
143560bd67266
151a75bd637a3
hexe42d62e76a

980013999978 has 256 divisors, whose sum is σ = 2444118405120. Its totient is φ = 289043251200.

The previous prime is 980013999977. The next prime is 980013999983. The reversal of 980013999978 is 879999310089.

980013999978 is a `hidden beast` number, since 9 + 80 + 0 + 1 + 399 + 99 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (980013999977) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1482622968 + ... + 1482623628.

It is an arithmetic number, because the mean of its divisors is an integer number (9547337520).

Almost surely, 2980013999978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980013999978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222059202560).

980013999978 is an abundant number, since it is smaller than the sum of its proper divisors (1464104405142).

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

980013999978 is a wasteful number, since it uses less digits than its factorization.

980013999978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 980013999978 in words is "nine hundred eighty billion, thirteen million, nine hundred ninety-nine thousand, nine hundred seventy-eight".