Search a number
-
+
99938474888 = 237422812
BaseRepresentation
bin101110100010011001…
…1000001101110001000
3100112221212212112122212
41131010303001232020
53114133222144023
6113524444204252
710135366010000
oct1350463015610
9315855775585
1099938474888
11394247333aa
1217451239688
139568b4a555
144ba0c07000
1528edb34e78
hex1744cc1b88

99938474888 has 60 divisors (see below), whose sum is σ = 218698284645. Its totient is φ = 42811997760.

The previous prime is 99938474887. The next prime is 99938474893. The reversal of 99938474888 is 88847483999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 98898928324 + 1039546564 = 314482^2 + 32242^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=223538.

It is a super-2 number, since 2×999384748882 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99938474887) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43812308 + ... + 43814588.

Almost surely, 299938474888 is an apocalyptic number.

99938474888 is a gapful number since it is divisible by the number (98) 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 99938474888

99938474888 is an abundant number, since it is smaller than the sum of its proper divisors (118759809757).

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

99938474888 is an frugal number, since it uses more digits than its factorization.

99938474888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 2290 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 77.

The spelling of 99938474888 in words is "ninety-nine billion, nine hundred thirty-eight million, four hundred seventy-four thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2281 2401 2744 4562 4802 9124 9604 15967 18248 19208 31934 63868 111769 127736 223538 447076 782383 894152 1564766 3129532 5202961 5476681 6259064 10405922 10953362 20811844 21906724 36420727 41623688 43813448 72841454 145682908 254945089 291365816 509890178 1019780356 1784615623 2039560712 3569231246 7138462492 12492309361 14276924984 24984618722 49969237444 99938474888