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425334433524 = 2237111322723779
BaseRepresentation
bin1100011000001111110…
…10000110011011110100
31111122212021202221100120
412030013322012123310
523432041103333044
6523221305011540
742505120014150
oct6140772063364
91448767687316
10425334433524
11154424221270
126a523783bb0
133115523a600
141682cb24060
15b0e5b2c519
hex6307e866f4

425334433524 has 144 divisors (see below), whose sum is σ = 1339838277120. Its totient is φ = 101978248320.

The previous prime is 425334433519. The next prime is 425334433529.

425334433524 is nontrivially palindromic in base 10.

425334433524 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (425334433519) and next prime (425334433529).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425334433529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205734 + ... + 1518045.

It is an arithmetic number, because the mean of its divisors is an integer number (9304432480).

Almost surely, 2425334433524 is an apocalyptic number.

425334433524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

425334433524 is an abundant number, since it is smaller than the sum of its proper divisors (914503843596).

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

425334433524 is a wasteful number, since it uses less digits than its factorization.

425334433524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723830 (or 2723815 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 425334 and 433524, that added together give a palindrome (858858).

The spelling of 425334433524 in words is "four hundred twenty-five billion, three hundred thirty-four million, four hundred thirty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 364 429 462 507 546 572 676 858 924 1001 1014 1092 1183 1716 1859 2002 2028 2366 3003 3549 3718 4004 4732 5577 6006 7098 7436 11154 12012 13013 14196 22308 26026 39039 52052 78078 156156 2723779 5447558 8171337 10895116 16342674 19066453 29961569 32685348 35409127 38132906 57199359 59923138 70818254 76265812 89884707 106227381 114398718 119846276 141636508 179769414 209730983 212454762 228797436 247863889 359538828 389500397 419461966 424909524 460318651 495727778 629192949 743591667 779000794 838923932 920637302 991455556 1168501191 1258385898 1380955953 1487183334 1558001588 1841274604 2337002382 2516771796 2726502779 2761911906 2974366668 3222230557 4674004764 5063505161 5453005558 5523823812 6444461114 8179508337 9666691671 10127010322 10906011116 12888922228 15190515483 16359016674 19333383342 20254020644 30381030966 32718033348 35444536127 38666766684 60762061932 70889072254 106333608381 141778144508 212667216762 425334433524