Search a number
-
+
1198035982080 = 28345722310253
BaseRepresentation
bin10001011011110000100…
…000100101011100000000
311020112100012001122220000
4101123300200211130000
5124112034202411310
62314211540520000
7152361306553200
oct21336040453400
94215305048800
101198035982080
114220a2096393
1217422b9b0000
1388c8872b422
1441db1758400
152126c5844c0
hex116f0825700

1198035982080 has 1080 divisors, whose sum is σ = 5203995727392. Its totient is φ = 261905301504.

The previous prime is 1198035982069. The next prime is 1198035982159. The reversal of 1198035982080 is 802895308911.

1198035982080 is a `hidden beast` number, since 1 + 1 + 9 + 80 + 359 + 8 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×11980359820802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116842234 + ... + 116852486.

Almost surely, 21198035982080 is an apocalyptic number.

1198035982080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1198035982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601997863696).

1198035982080 is an abundant number, since it is smaller than the sum of its proper divisors (4005959745312).

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

1198035982080 is a wasteful number, since it uses less digits than its factorization.

1198035982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10293 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1198035982080 in words is "one trillion, one hundred ninety-eight billion, thirty-five million, nine hundred eighty-two thousand, eighty".