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99418695552 = 27321124791489
BaseRepresentation
bin101110010010111010…
…0001110011110000000
3100111121122211000110100
41130211310032132000
53112102141224202
6113401115402400
710116454653231
oct1344564163600
9314548730410
1099418695552
1139188297500
1217327153400
1394b525b607
144b51b83088
1528bd1b141c
hex1725d0e780

99418695552 has 288 divisors, whose sum is σ = 315328104000. Its totient is φ = 30043791360.

The previous prime is 99418695521. The next prime is 99418695559. The reversal of 99418695552 is 25559681499.

99418695552 is a `hidden beast` number, since 9 + 9 + 4 + 18 + 69 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×994186955522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99418695552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99418695559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66768024 + ... + 66769512.

It is an arithmetic number, because the mean of its divisors is an integer number (1094889250).

Almost surely, 299418695552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99418695552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157664052000).

99418695552 is an abundant number, since it is smaller than the sum of its proper divisors (215909408448).

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

99418695552 is a wasteful number, since it uses less digits than its factorization.

99418695552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1984 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 63.

The spelling of 99418695552 in words is "ninety-nine billion, four hundred eighteen million, six hundred ninety-five thousand, five hundred fifty-two".