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99461100228 = 223723137891657
BaseRepresentation
bin101110010100001010…
…1111111001011000100
3100111201121121101201220
41130220111333023010
53112144020201403
6113405232320340
710120511255100
oct1345025771304
9314647541656
1099461100228
11391aa21a796
12173393a30b0
1394c0c87839
144b57660900
1528c1c8a953
hex172857f2c4

99461100228 has 288 divisors, whose sum is σ = 289596625920. Its totient is φ = 26440888320.

The previous prime is 99461100217. The next prime is 99461100239. The reversal of 99461100228 is 82200116499.

It is an interprime number because it is at equal distance from previous prime (99461100217) and next prime (99461100239).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 99461100228.

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 95 ways as a sum of consecutive naturals, for example, 60023976 + ... + 60025632.

It is an arithmetic number, because the mean of its divisors is an integer number (1005543840).

Almost surely, 299461100228 is an apocalyptic number.

99461100228 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 99461100228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144798312960).

99461100228 is an abundant number, since it is smaller than the sum of its proper divisors (190135525692).

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

99461100228 is a wasteful number, since it uses less digits than its factorization.

99461100228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 99461100228 in words is "ninety-nine billion, four hundred sixty-one million, one hundred thousand, two hundred twenty-eight".