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94170424384 = 268924312
BaseRepresentation
bin101011110110011111…
…1101010010001000000
3100000001220021012212201
41113230333222101000
53020330112040014
6111132235002544
76542426254141
oct1275477522100
9300056235781
1094170424384
1136a34827713
1216301599454
138b59b4420a
1447b4b35ac8
1526b2567e74
hex15ecfea440

94170424384 has 63 divisors (see below), whose sum is σ = 189432199621. Its totient is φ = 46448145920.

The previous prime is 94170424373. The next prime is 94170424391. The reversal of 94170424384 is 48342407149.

The square root of 94170424384 is 306872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18082718784 + 76087705600 = 134472^2 + 275840^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 218492649 + ... + 218493079.

Almost surely, 294170424384 is an apocalyptic number.

94170424384 is the 306872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94170424384

94170424384 is an abundant number, since it is smaller than the sum of its proper divisors (95261775237).

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

94170424384 is an frugal number, since it uses more digits than its factorization.

94170424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 94170424384 in words is "ninety-four billion, one hundred seventy million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 431 712 862 1424 1724 2848 3448 5696 6896 7921 13792 15842 27584 31684 38359 63368 76718 126736 153436 185761 253472 306872 371522 506944 613744 743044 1227488 1486088 2454976 2972176 3413951 5944352 6827902 11888704 13655804 16532729 27311608 33065458 54623216 66130916 109246432 132261832 218492864 264523664 529047328 1058094656 1471412881 2942825762 5885651524 11771303048 23542606096 47085212192 94170424384