Search a number
-
+
93504369948 = 223112227283687
BaseRepresentation
bin101011100010101001…
…0110111010100011100
322221100110222010221220
41113011102313110130
53012444104314243
6110542203053340
76520061013363
oct1270522672434
9287313863856
1093504369948
1136722863100
1216156511250
138a81b5b972
1447504b67da
152673d4d783
hex15c54b751c

93504369948 has 72 divisors (see below), whose sum is σ = 240871537536. Its totient is φ = 28209735840.

The previous prime is 93504369923. The next prime is 93504369953. The reversal of 93504369948 is 84996340539.

It is a junction number, because it is equal to n+sod(n) for n = 93504369891 and 93504369900.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 187761 + ... + 471447.

Almost surely, 293504369948 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 93504369948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120435768768).

93504369948 is an abundant number, since it is smaller than the sum of its proper divisors (147367167588).

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

93504369948 is a wasteful number, since it uses less digits than its factorization.

93504369948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283943 (or 283930 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 93504369948 in words is "ninety-three billion, five hundred four million, three hundred sixty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 227 242 363 454 484 681 726 908 1362 1452 2497 2724 4994 7491 9988 14982 27467 29964 54934 82401 109868 164802 283687 329604 567374 851061 1134748 1702122 3120557 3404244 6241114 9361671 12482228 18723342 34326127 37446684 64396949 68652254 102978381 128793898 137304508 193190847 205956762 257587796 386381694 411913524 708366439 772763388 1416732878 2125099317 2833465756 4250198634 7792030829 8500397268 15584061658 23376092487 31168123316 46752184974 93504369948