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53313134656300 = 22523173599393299
BaseRepresentation
bin11000001111100111011100…
…11100111111101100101100
320222202200112000112020111221
430013303232130333230230
523441440244433000200
6305215414351153124
714141514114351301
oct1407635634775454
9228680460466457
1053313134656300
1115a94a78708812
125b90538b157a4
13239953a30c44c
14d24525c210a8
15626be4c1291a
hex307cee73fb2c

53313134656300 has 144 divisors (see below), whose sum is σ = 121259738880000. Its totient is φ = 20320606425600.

The previous prime is 53313134656273. The next prime is 53313134656319. The reversal of 53313134656300 is 365643131335.

It is a super-2 number, since 2×533131346563002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135357051 + ... + 135750349.

It is an arithmetic number, because the mean of its divisors is an integer number (842081520000).

Almost surely, 253313134656300 is an apocalyptic number.

53313134656300 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 53313134656300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60629869440000).

53313134656300 is an abundant number, since it is smaller than the sum of its proper divisors (67946604223700).

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

53313134656300 is a wasteful number, since it uses less digits than its factorization.

53313134656300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394016 (or 394009 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 43.

Adding to 53313134656300 its reverse (365643131335), we get a palindrome (53678777787635).

The spelling of 53313134656300 in words is "fifty-three trillion, three hundred thirteen billion, one hundred thirty-four million, six hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 73 100 124 146 155 292 310 365 599 620 730 775 1198 1460 1550 1825 2263 2396 2995 3100 3650 4526 5990 7300 9052 11315 11980 14975 18569 22630 29950 37138 43727 45260 56575 59900 74276 87454 92845 113150 174908 185690 218635 226300 371380 393299 437270 464225 786598 874540 928450 1093175 1355537 1573196 1856900 1966495 2186350 2711074 3932990 4372700 5422148 6777685 7865980 9832475 12192269 13555370 19664950 24384538 27110740 28710827 33888425 39329900 48769076 57421654 60961345 67776850 114843308 121922690 135553700 143554135 235586101 243845380 287108270 304806725 471172202 574216540 609613450 717770675 890035637 942344404 1177930505 1219226900 1435541350 1780071274 2355861010 2871082700 3560142548 4450178185 4711722020 5889652525 7303169131 8900356370 11779305050 14606338262 17197785373 17800712740 22250890925 23558610100 29212676524 34395570746 36515845655 44501781850 68791141492 73031691310 85988926865 89003563700 146063382620 171977853730 182579228275 343955707460 365158456550 429944634325 533131346563 730316913100 859889268650 1066262693126 1719778537300 2132525386252 2665656732815 5331313465630 10662626931260 13328283664075 26656567328150 53313134656300