Search a number
-
+
93399498340781 = 17233125910340903
BaseRepresentation
bin10101001111001001000011…
…111010111011100110101101
3110020200220102121221222211012
4111033021003322323212231
544220224133033401111
6530351045345035005
725446614431555523
oct2517110372734655
9406626377858735
1093399498340781
112783a560991236
12a585547025a65
1340166c5242599
14190c7ba2b4313
15abe80692448b
hex54f243ebb9ad

93399498340781 has 96 divisors (see below), whose sum is σ = 109492246056960. Its totient is φ = 79213339307520.

The previous prime is 93399498340763. The next prime is 93399498340829. The reversal of 93399498340781 is 18704389499339.

It is not a de Polignac number, because 93399498340781 - 226 = 93399431231917 is a prime.

It is a super-2 number, since 2×933994983407812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93399498340741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2283418376 + ... + 2283459278.

It is an arithmetic number, because the mean of its divisors is an integer number (1140544229760).

Almost surely, 293399498340781 is an apocalyptic number.

It is an amenable number.

93399498340781 is a deficient number, since it is larger than the sum of its proper divisors (16092747716179).

93399498340781 is a wasteful number, since it uses less digits than its factorization.

93399498340781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41167 (or 41136 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 77.

The spelling of 93399498340781 in words is "ninety-three trillion, three hundred ninety-nine billion, four hundred ninety-eight million, three hundred forty thousand, seven hundred eighty-one".

Divisors: 1 17 23 31 59 103 391 527 713 961 1003 1357 1751 1829 2369 3193 6077 12121 16337 22103 23069 31093 40273 40903 42067 54281 56699 73439 98983 103309 139771 188387 375751 695351 715139 940769 963883 1248463 1267993 1304077 1682711 2276609 2376107 2413277 3202579 4213009 4332901 5839997 15993073 21555881 22169309 29163839 38702353 39307783 41025709 55505371 71621153 73659317 74811587 96899207 99279949 130603279 134319931 248567531 495785263 668232311 904079009 943591307 1271796979 1647286519 1720666501 2220255743 2283438827 2319159197 3003875417 4048701649 4225648027 5717053213 7705593461 15369343153 29251330517 39425706349 51065882089 53340661531 68827928033 93120137927 97189904621 130995088837 177228649603 238873397291 906791246027 1583042344759 3012887043251 4060847753947 5494088137693 93399498340781