Search a number
-
+
9900704898 = 233725716553
BaseRepresentation
bin10010011100010000…
…01100010010000010
3221112222220220212000
421032020030102002
5130234040024043
64314234244430
7500230413600
oct111610142202
927488826760
109900704898
114220765147
121b03886716
13c1a262786
1469ccb6870
153ce2e72d3
hex24e20c482

9900704898 has 96 divisors (see below), whose sum is σ = 25642393920. Its totient is φ = 2823387840.

The previous prime is 9900704897. The next prime is 9900704911. The reversal of 9900704898 is 8984070099.

9900704898 is a `hidden beast` number, since 9 + 90 + 0 + 70 + 489 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9900704897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507590 + ... + 1514142.

It is an arithmetic number, because the mean of its divisors is an integer number (267108270).

Almost surely, 29900704898 is an apocalyptic number.

9900704898 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900704898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821196960).

9900704898 is an abundant number, since it is smaller than the sum of its proper divisors (15741689022).

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

9900704898 is a wasteful number, since it uses less digits than its factorization.

9900704898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9900704898 is about 99502.2858933402. The cubic root of 9900704898 is about 2147.2801300164.

The spelling of 9900704898 in words is "nine billion, nine hundred million, seven hundred four thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 571 882 1142 1323 1713 2646 3426 3997 5139 6553 7994 10278 11991 13106 15417 19659 23982 27979 30834 35973 39318 45871 55958 58977 71946 83937 91742 107919 117954 137613 167874 176931 215838 251811 275226 321097 353862 412839 503622 642194 755433 825678 963291 1238517 1510866 1926582 2477034 2889873 3741763 5779746 7483526 8669619 11225289 17339238 22450578 26192341 33675867 52384682 67351734 78577023 101027601 157154046 183346387 202055202 235731069 366692774 471462138 550039161 707193207 1100078322 1414386414 1650117483 3300234966 4950352449 9900704898