Search a number
-
+
10001199978 = 23372114361131
BaseRepresentation
bin10010101000001111…
…00011001101101010
3221211000000121012000
421110013203031222
5130440301344403
64332224231430
7502560540300
oct112407431552
927730017160
1010001199978
114272464630
121b3146b576
13c3501a713
146ac396270
153d80487a3
hex2541e336a

10001199978 has 384 divisors, whose sum is σ = 29556679680. Its totient is φ = 2476656000.

The previous prime is 10001199961. The next prime is 10001200057. The reversal of 10001199978 is 87999110001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76344973 + ... + 76345103.

It is an arithmetic number, because the mean of its divisors is an integer number (76970520).

Almost surely, 210001199978 is an apocalyptic number.

10001199978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001199978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778339840).

10001199978 is an abundant number, since it is smaller than the sum of its proper divisors (19555479702).

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

10001199978 is a wasteful number, since it uses less digits than its factorization.

10001199978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 45.

The spelling of 10001199978 in words is "ten billion, one million, one hundred ninety-nine thousand, nine hundred seventy-eight".