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94688830100 = 22525319392569
BaseRepresentation
bin101100000101111100…
…1001110001010010100
3100001102000201221211102
41120023321032022110
53022410320030400
6111255514125232
76561322530104
oct1301371161224
9301360657742
1094688830100
1137180415597
1216427120818
138c10371b67
14482391d204
1526e2d199d5
hex160be4e294

94688830100 has 72 divisors (see below), whose sum is σ = 210438640440. Its totient is φ = 36967956480.

The previous prime is 94688830099. The next prime is 94688830123. The reversal of 94688830100 is 103888649.

It can be written as a sum of positive squares in 12 ways, for example, as 51069672196 + 43619157904 = 225986^2 + 208852^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 976616 + ... + 1069184.

It is an arithmetic number, because the mean of its divisors is an integer number (2922758895).

Almost surely, 294688830100 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 94688830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105219320220).

94688830100 is an abundant number, since it is smaller than the sum of its proper divisors (115749810340).

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

94688830100 is a wasteful number, since it uses less digits than its factorization.

94688830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92829 (or 92822 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 94688830100 in words is "ninety-four billion, six hundred eighty-eight million, eight hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 193 212 265 386 530 772 965 1060 1325 1930 2650 3860 4825 5300 9650 10229 19300 20458 40916 51145 92569 102290 185138 204580 255725 370276 462845 511450 925690 1022900 1851380 2314225 4628450 4906157 9256900 9812314 17865817 19624628 24530785 35731634 49061570 71463268 89329085 98123140 122653925 178658170 245307850 357316340 446645425 490615700 893290850 946888301 1786581700 1893776602 3787553204 4734441505 9468883010 18937766020 23672207525 47344415050 94688830100