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93901349444 = 2274794775347
BaseRepresentation
bin101011101110011110…
…1001110001001000100
322222101010221210110012
41113130331032021010
53014302221140234
6111045423445352
76532651205120
oct1273475161104
9288333853405
1093901349444
1136906955731
1216247456858
138b16183486
14478b0d2580
152698b170ce
hex15dcf4e244

93901349444 has 48 divisors (see below), whose sum is σ = 192003581952. Its totient is φ = 39345078432.

The previous prime is 93901349429. The next prime is 93901349449. The reversal of 93901349444 is 44494310939.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 93901349392 and 93901349401.

It is not an unprimeable number, because it can be changed into a prime (93901349449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1208579 + ... + 1283925.

It is an arithmetic number, because the mean of its divisors is an integer number (4000074624).

Almost surely, 293901349444 is an apocalyptic number.

93901349444 is a gapful number since it is divisible by the number (94) 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 93901349444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96001790976).

93901349444 is an abundant number, since it is smaller than the sum of its proper divisors (98102232508).

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

93901349444 is a wasteful number, since it uses less digits than its factorization.

93901349444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76352 (or 76350 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 93901349444 in words is "ninety-three billion, nine hundred one million, three hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 947 1316 1894 3788 6629 13258 26516 44509 75347 89018 150694 178036 301388 311563 527429 623126 1054858 1246252 2109716 3541309 7082618 14165236 24789163 49578326 71353609 99156652 142707218 285414436 499475263 998950526 1997901052 3353619623 6707239246 13414478492 23475337361 46950674722 93901349444