Search a number
-
+
53673958000 = 2453133166593
BaseRepresentation
bin110001111111001101…
…111001101001110000
312010112122000120112101
4301333031321221300
51334411013124000
640354003110144
73610043054365
oct617715715160
9163478016471
1053673958000
1120843606083
12a49b372354
1350a4c76080
14285265246c
1515e21b4e6a
hexc7f379a70

53673958000 has 160 divisors (see below), whose sum is σ = 144277765632. Its totient is φ = 19178496000.

The previous prime is 53673957991. The next prime is 53673958003. The reversal of 53673958000 is 85937635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53673958003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772704 + ... + 839296.

Almost surely, 253673958000 is an apocalyptic number.

53673958000 is a gapful number since it is divisible by the number (50) 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 53673958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72138882816).

53673958000 is an abundant number, since it is smaller than the sum of its proper divisors (90603807632).

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

53673958000 is a wasteful number, since it uses less digits than its factorization.

53673958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66660 (or 66644 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 53673958000 in words is "fifty-three billion, six hundred seventy-three million, nine hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 125 130 155 200 208 248 250 260 310 325 400 403 496 500 520 620 650 775 806 1000 1040 1240 1300 1550 1612 1625 2000 2015 2480 2600 3100 3224 3250 3875 4030 5200 6200 6448 6500 7750 8060 10075 12400 13000 15500 16120 20150 26000 31000 32240 40300 50375 62000 66593 80600 100750 133186 161200 201500 266372 332965 403000 532744 665930 806000 865709 1065488 1331860 1664825 1731418 2064383 2663720 3329650 3462836 4128766 4328545 5327440 6659300 6925672 8257532 8324125 8657090 10321915 13318600 13851344 16515064 16648250 17314180 20643830 21642725 26637200 26836979 33030128 33296500 34628360 41287660 43285450 51609575 53673958 66593000 69256720 82575320 86570900 103219150 107347916 108213625 133186000 134184895 165150640 173141800 206438300 214695832 216427250 258047875 268369790 346283600 412876600 429391664 432854500 516095750 536739580 670924475 825753200 865709000 1032191500 1073479160 1341848950 1731418000 2064383000 2146958320 2683697900 3354622375 4128766000 5367395800 6709244750 10734791600 13418489500 26836979000 53673958000