Search a number
102648162240 = 263251331591499

102648162240 has 672 divisors, whose sum is σ = 399409920000. Its totient is φ = 24021688320.

The previous prime is 102648162187. The next prime is 102648162251. The reversal of 102648162240 is 42261846201.

102648162240 is a `hidden beast` number, since 1 + 0 + 2 + 648 + 1 + 6 + 2 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×1026481622402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102648162195 and 102648162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68477011 + ... + 68478509.

It is an arithmetic number, because the mean of its divisors is an integer number (594360000).

Almost surely, 2102648162240 is an apocalyptic number.

102648162240 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 102648162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960000).

102648162240 is an abundant number, since it is smaller than the sum of its proper divisors (296761757760).

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

102648162240 is a wasteful number, since it uses less digits than its factorization.

102648162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 102648162240 in words is "one hundred two billion, six hundred forty-eight million, one hundred sixty-two thousand, two hundred forty".