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82430211203428 = 221123471733037827
BaseRepresentation
bin10010101111100001000111…
…011101010010000101100100
3101210212020210010222101121011
4102233201013131102011210
541301014033032002203
6451151525524432004
723235246322403614
oct2257410735220544
9353766703871534
1082430211203428
11242a0502300640
1292b363ab48604
1336cc19baa754a
14164d901b0ca44
1597e2eb75776d
hex4af847752164

82430211203428 has 48 divisors (see below), whose sum is σ = 167702604539904. Its totient is φ = 35076685598240.

The previous prime is 82430211203413. The next prime is 82430211203489.

82430211203428 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866471350 + ... + 866566477.

It is an arithmetic number, because the mean of its divisors is an integer number (3493804261248).

Almost surely, 282430211203428 is an apocalyptic number.

It is an amenable number.

82430211203428 is an abundant number, since it is smaller than the sum of its proper divisors (85272393336476).

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

82430211203428 is a wasteful number, since it uses less digits than its factorization.

82430211203428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733037912 (or 1733037910 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 8243021 and 1203428, that added together give a palindrome (9446449).

The spelling of 82430211203428 in words is "eighty-two trillion, four hundred thirty billion, two hundred eleven million, two hundred three thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 22 23 44 46 47 92 94 188 253 506 517 1012 1034 1081 2068 2162 4324 11891 23782 47564 1733037827 3466075654 6932151308 19063416097 38126832194 39859870021 76253664388 79719740042 81452777869 159439480084 162905555738 325811111476 438458570231 876917140462 895980556559 1753834280924 1791961113118 1873413890987 3583922226236 3746827781974 7493655563948 20607552800857 41215105601714 82430211203428