Search a number
-
+
197499055010400 = 253552111321723161
BaseRepresentation
bin101100111001111111010101…
…000001000111001001100000
3221220021201120201102001100000
4230321333111001013021200
5201341311031040313100
61540013451402500000
756412556460542263
oct5471772501071140
9856251521361300
10197499055010400
1157a24973844430
121a198781b04600
138628108b90700
1436ab010642cda
1517c760c516900
hexb39fd5047260

197499055010400 has 7776 divisors, whose sum is σ = 950858747145216. Its totient is φ = 39594147840000.

The previous prime is 197499055010399. The next prime is 197499055010449. The reversal of 197499055010400 is 4010550994791.

It is a happy number.

197499055010400 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 9 + 90 + 5 + 501 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 3237689426370 + ... + 3237689426430.

Almost surely, 2197499055010400 is an apocalyptic number.

197499055010400 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 197499055010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475429373572608).

197499055010400 is an abundant number, since it is smaller than the sum of its proper divisors (753359692134816).

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

197499055010400 is a wasteful number, since it uses less digits than its factorization.

197499055010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 197499055010400 in words is "one hundred ninety-seven trillion, four hundred ninety-nine billion, fifty-five million, ten thousand, four hundred".