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5235474829456 = 244325322512
BaseRepresentation
bin100110000101111101010…
…0111100001000010010000
3200112111200020112212102001
41030023322213201002100
51141234223024020311
615045051031203344
71050151642533664
oct114137247410220
920474606485361
105235474829456
111739397064133
12706805b16554
132bc91aab8491
141415810568a4
15912c026b4c1
hex4c2fa9e1090

5235474829456 has 135 divisors (see below), whose sum is σ = 10627100412537. Its totient is φ = 2498622672000.

The previous prime is 5235474829423. The next prime is 5235474829493. The reversal of 5235474829456 is 6549284745325.

The square root of 5235474829456 is 2288116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3774238707600 + 1461236121856 = 1942740^2 + 1208816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20858465331 + ... + 20858465581.

Almost surely, 25235474829456 is an apocalyptic number.

5235474829456 is the 2288116-th square number.

It is an amenable number.

5235474829456 is an abundant number, since it is smaller than the sum of its proper divisors (5391625583081).

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

5235474829456 is an frugal number, since it uses more digits than its factorization.

5235474829456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 349 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 64.

Multiplying 5235474829456 by its sum of digits (64), we get a square (335070389085184 = 183049282).

The spelling of 5235474829456 in words is "five trillion, two hundred thirty-five billion, four hundred seventy-four million, eight hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 43 53 86 106 172 212 251 344 424 502 688 848 1004 1849 2008 2279 2809 3698 4016 4558 5618 7396 9116 10793 11236 13303 14792 18232 21586 22472 26606 29584 36464 43172 44944 53212 63001 86344 97997 106424 120787 126002 172688 195994 212848 241574 252004 391988 464099 483148 504008 572029 705059 783976 928198 966296 1008016 1144058 1410118 1567952 1856396 1932592 2288116 2709043 2820236 3339053 3712792 4576232 5193841 5418086 5640472 6678106 7425584 9152464 10387682 10836172 11280944 13356212 20775364 21672344 24597247 26712424 30317537 41550728 43344688 49194494 53424848 60635074 83101456 98388988 116488849 121270148 143579279 176969809 196777976 232977698 242540296 287158558 353939618 393555952 465955396 485080592 574317116 707879236 931910792 1148634232 1303654091 1415758472 1863821584 2297268464 2607308182 2831516944 5214616364 6173908997 7609701787 10429232728 12347817994 15219403574 20858465456 24695635988 30438807148 49391271976 60877614296 98782543952 121755228592 327217176841 654434353682 1308868707364 2617737414728 5235474829456