Search a number
-
+
249942690805756 = 221317216631800027
BaseRepresentation
bin111000110101001001010001…
…010011001011011111111100
31012202222021202212102121112111
4320311021101103023133330
5230230030112321241011
62243330030443543404
7103434522610651654
oct7065112123133774
91182867685377474
10249942690805756
1172704110a70593
122404869952ab64
13a96065786c520
1445a140dc97364
151dd68b2817121
hexe352514cb7fc

249942690805756 has 36 divisors (see below), whose sum is σ = 500384335642408. Its totient is φ = 108572390569728.

The previous prime is 249942690805729. The next prime is 249942690805771. The reversal of 249942690805756 is 657508096249942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8315884986 + ... + 8315915041.

Almost surely, 2249942690805756 is an apocalyptic number.

249942690805756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

249942690805756 is an abundant number, since it is smaller than the sum of its proper divisors (250441644836652).

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

249942690805756 is a wasteful number, since it uses less digits than its factorization.

249942690805756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16631800078 (or 16631800059 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 76.

The spelling of 249942690805756 in words is "two hundred forty-nine trillion, nine hundred forty-two billion, six hundred ninety million, eight hundred five thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 7514 15028 16631800027 33263600054 66527200108 216213400351 282740600459 432426800702 565481200918 864853601404 1130962401836 3675627805967 4806590207803 7351255611934 9613180415606 14702511223868 19226360831212 62485672701439 124971345402878 249942690805756