Search a number
-
+
98675432100 = 2232527107146381
BaseRepresentation
bin101101111100110000…
…0111001101010100100
3100102200212020022200100
41123321200321222210
53104041402311400
6113155244544100
710062161222340
oct1337140715244
9312625208610
1098675432100
1138936788693
121715a252030
1393c728215b
144ac1186620
152877ce5100
hex16f9839aa4

98675432100 has 216 divisors, whose sum is σ = 356783289408. Its totient is φ = 22343443200.

The previous prime is 98675432083. The next prime is 98675432131. The reversal of 98675432100 is 123457689.

98675432100 is a `hidden beast` number, since 9 + 86 + 7 + 543 + 21 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600910 + ... + 747290.

It is an arithmetic number, because the mean of its divisors is an integer number (1651774488).

It is a 2-persistent number, because it is pandigital, and so is 2⋅98675432100 = 197350864200, but 3⋅98675432100 = 296026296300 is not.

Almost surely, 298675432100 is an apocalyptic number.

98675432100 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 98675432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178391644704).

98675432100 is an abundant number, since it is smaller than the sum of its proper divisors (258107857308).

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

98675432100 is a wasteful number, since it uses less digits than its factorization.

98675432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146515 (or 146505 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 98675432100 its reverse (123457689), we get a palindrome (98798889789).

The spelling of 98675432100 in words is "ninety-eight billion, six hundred seventy-five million, four hundred thirty-two thousand, one hundred".