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10198487040 = 212357231031
BaseRepresentation
bin10010111111110000…
…01001000000000000
3222022202020211011020
421133320021000000
5131341303041130
64403552545440
7510504465240
oct113770110000
928282224136
1010198487040
114363864295
121b87552280
13c66b64c21
146ca66db20
153ea518e10
hex25fe09000

10198487040 has 416 divisors, whose sum is σ = 38951940096. Its totient is φ = 2227568640.

The previous prime is 10198487027. The next prime is 10198487069. The reversal of 10198487040 is 4078489101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10198486983 and 10198487001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9891325 + ... + 9892355.

Almost surely, 210198487040 is an apocalyptic number.

10198487040 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 10198487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475970048).

10198487040 is an abundant number, since it is smaller than the sum of its proper divisors (28753453056).

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

10198487040 is a wasteful number, since it uses less digits than its factorization.

10198487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 10198487040 in words is "ten billion, one hundred ninety-eight million, four hundred eighty-seven thousand, forty".