Search a number
-
+
53035815042 = 23371716674951
BaseRepresentation
bin110001011001001011…
…100101000010000010
312001220011020112222000
4301121023211002002
51332104132040132
640210405324430
73555163663320
oct613113450202
9161804215860
1053035815042
1120546375901
12a341706716
1350029b3ca2
1427d19bad10
1515a616087c
hexc592e5082

53035815042 has 128 divisors (see below), whose sum is σ = 142731694080. Its totient is φ = 14250297600.

The previous prime is 53035815037. The next prime is 53035815047. The reversal of 53035815042 is 24051853035.

53035815042 is a `hidden beast` number, since 5 + 30 + 3 + 581 + 5 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (53035815037) and next prime (53035815047).

It is a junction number, because it is equal to n+sod(n) for n = 53035814988 and 53035815006.

It is not an unprimeable number, because it can be changed into a prime (53035815047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10709667 + ... + 10714617.

It is an arithmetic number, because the mean of its divisors is an integer number (1115091360).

Almost surely, 253035815042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53035815042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71365847040).

53035815042 is an abundant number, since it is smaller than the sum of its proper divisors (89695879038).

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

53035815042 is a wasteful number, since it uses less digits than its factorization.

53035815042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 53035815042 in words is "fifty-three billion, thirty-five million, eight hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 1667 2142 3213 3334 4951 5001 6426 9902 10002 11669 14853 15003 23338 28339 29706 30006 34657 35007 44559 45009 56678 69314 70014 84167 85017 89118 90018 103971 105021 133677 168334 170034 198373 207942 210042 252501 255051 267354 311913 315063 396746 505002 510102 589169 595119 623826 630126 757503 765153 935739 1178338 1190238 1515006 1530306 1767507 1785357 1871478 2272509 3535014 3570714 4545018 5302521 5356071 8253317 10605042 10712142 15907563 16506634 24759951 31815126 49519902 57773219 74279853 115546438 140306389 148559706 173319657 222839559 280612778 346639314 420919167 445679118 519958971 841838334 982144723 1039917942 1262757501 1559876913 1964289446 2525515002 2946434169 3119753826 3788272503 5892868338 7576545006 8839302507 17678605014 26517907521 53035815042