Search a number
-
+
98573181120 = 26335106110753
BaseRepresentation
bin101101111001101101…
…0110110000011000000
3100102102201211102201000
41123303122312003000
53103334213243440
6113141153212000
710056510133461
oct1336332660300
9312381742630
1098573181120
1138893a99a47
121712bb61000
1393ac030c0b
144ab176ad68
15286dd48730
hex16f36b60c0

98573181120 has 224 divisors, whose sum is σ = 348104399040. Its totient is φ = 26258964480.

The previous prime is 98573181107. The next prime is 98573181131. The reversal of 98573181120 is 2118137589.

It is a super-2 number, since 2×985731811202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9161664 + ... + 9172416.

Almost surely, 298573181120 is an apocalyptic number.

98573181120 is a gapful number since it is divisible by the number (90) 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 98573181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174052199520).

98573181120 is an abundant number, since it is smaller than the sum of its proper divisors (249531217920).

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

98573181120 is a wasteful number, since it uses less digits than its factorization.

98573181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 98573181120 in words is "ninety-eight billion, five hundred seventy-three million, one hundred eighty-one thousand, one hundred twenty".