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53122331420 = 22519415364333
BaseRepresentation
bin110001011110010101…
…100111001100011100
312002010012001001010022
4301132111213030130
51332243304101140
640223135531312
73560264236544
oct613625471434
9162105031108
1053122331420
1120590197944
12a366689b38
1350178b6402
1427dd29c324
1515ada500b5
hexc5e56731c

53122331420 has 96 divisors (see below), whose sum is σ = 122563990080. Its totient is φ = 19268720640.

The previous prime is 53122331407. The next prime is 53122331429. The reversal of 53122331420 is 2413322135.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53122331420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53122331429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 793574 + ... + 857906.

It is an arithmetic number, because the mean of its divisors is an integer number (1276708230).

Almost surely, 253122331420 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 53122331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61281995040).

53122331420 is an abundant number, since it is smaller than the sum of its proper divisors (69441658660).

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

53122331420 is a wasteful number, since it uses less digits than its factorization.

53122331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64455 (or 64453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 53122331420 its reverse (2413322135), we get a palindrome (55535653555).

The spelling of 53122331420 in words is "fifty-three billion, one hundred twenty-two million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 53 76 82 95 106 164 190 205 212 265 380 410 530 779 820 1007 1060 1558 2014 2173 3116 3895 4028 4346 5035 7790 8692 10070 10865 15580 20140 21730 41287 43460 64333 82574 128666 165148 206435 257332 321665 412870 643330 825740 1222327 1286660 2444654 2637653 3409649 4889308 5275306 6111635 6819298 10550612 12223270 13188265 13638596 17048245 24446540 26376530 34096490 50115407 52753060 64783331 68192980 100230814 129566662 139795609 200461628 250577035 259133324 279591218 323916655 501154070 559182436 647833310 698978045 1002308140 1295666620 1397956090 2656116571 2795912180 5312233142 10624466284 13280582855 26561165710 53122331420