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53121425104 = 241117371014751
BaseRepresentation
bin110001011110010010…
…001001111011010000
312002010010022222220001
4301132102021323100
51332243041100404
640223104255344
73560253443326
oct613622117320
9162103288801
1053121425104
112058a728a20
12a366311554
135017659a27
1427dd103d16
1515ad9217a4
hexc5e489ed0

53121425104 has 160 divisors (see below), whose sum is σ = 123331963392. Its totient is φ = 21888000000.

The previous prime is 53121425051. The next prime is 53121425111. The reversal of 53121425104 is 40152412135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11178729 + ... + 11183479.

Almost surely, 253121425104 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 53121425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61665981696).

53121425104 is an abundant number, since it is smaller than the sum of its proper divisors (70210538288).

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

53121425104 is a wasteful number, since it uses less digits than its factorization.

53121425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 53121425104 its reverse (40152412135), we get a palindrome (93273837239).

It can be divided in two parts, 5312 and 1425104, that added together give a square (1430416 = 11962).

The spelling of 53121425104 in words is "fifty-three billion, one hundred twenty-one million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 101 136 148 176 187 202 272 296 374 404 407 592 629 748 808 814 1111 1258 1496 1616 1628 1717 2222 2516 2992 3256 3434 3737 4444 4751 5032 6512 6868 6919 7474 8888 9502 10064 13736 13838 14948 17776 18887 19004 27472 27676 29896 37774 38008 41107 52261 55352 59792 63529 75548 76016 80767 82214 104522 110704 127058 151096 161534 164428 175787 209044 254116 302192 323068 328856 351574 418088 479851 508232 646136 657712 698819 703148 836176 888437 959702 1016464 1292272 1397638 1406296 1776874 1919404 1933657 2795276 2812592 2988379 3553748 3838808 3867314 5278361 5590552 5976758 7107496 7677616 7734628 8157467 10556722 11181104 11953516 14214992 15469256 16314934 17754487 21113444 23907032 30938512 32629868 32872169 35508974 42226888 47814064 65259736 65744338 71017948 84453776 89732137 130519472 131488676 142035896 179464274 195299357 262977352 284071792 301826279 358928548 390598714 525954704 603652558 717857096 781197428 1207305116 1435714192 1562394856 2414610232 3124789712 3320089069 4829220464 6640178138 13280356276 26560712552 53121425104