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103490061840 = 243251119739421
BaseRepresentation
bin110000001100001111…
…1010000011000010000
3100220010101210212001100
41200120133100120100
53143421423434330
6115313115104400
710322403003624
oct1403037203020
9326111725040
10103490061840
113a987495230
1218082742100
1399b38a96a9
14501a793184
152a5a832060
hex18187d0610

103490061840 has 480 divisors, whose sum is σ = 404615352960. Its totient is φ = 23439974400.

The previous prime is 103490061839. The next prime is 103490061847. The reversal of 103490061840 is 48160094301.

103490061840 is a `hidden beast` number, since 1 + 0 + 34 + 9 + 0 + 0 + 618 + 4 + 0 = 666.

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 = 103490061795 and 103490061804.

It is not an unprimeable number, because it can be changed into a prime (103490061847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10980330 + ... + 10989750.

It is an arithmetic number, because the mean of its divisors is an integer number (842948652).

Almost surely, 2103490061840 is an apocalyptic number.

103490061840 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 103490061840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202307676480).

103490061840 is an abundant number, since it is smaller than the sum of its proper divisors (301125291120).

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

103490061840 is a wasteful number, since it uses less digits than its factorization.

103490061840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103490061840 in words is "one hundred three billion, four hundred ninety million, sixty-one thousand, eight hundred forty".