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57631344420 = 223513601122939
BaseRepresentation
bin110101101011000110…
…001000011100100100
312111202102112122010210
4311223012020130210
51421012111010140
642250411415420
74110105226206
oct655306103444
9174672478123
1057631344420
1122494434071
12b204754570
135585ac7440
142b0a072776
15177481dd80
hexd6b188724

57631344420 has 96 divisors (see below), whose sum is σ = 174071237760. Its totient is φ = 14162457600.

The previous prime is 57631344409. The next prime is 57631344461. The reversal of 57631344420 is 2444313675.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407311 + ... + 530249.

It is an arithmetic number, because the mean of its divisors is an integer number (1813242060).

Almost surely, 257631344420 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 57631344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87035618880).

57631344420 is an abundant number, since it is smaller than the sum of its proper divisors (116439893340).

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

57631344420 is a wasteful number, since it uses less digits than its factorization.

57631344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123565 (or 123563 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 57631344420 in words is "fifty-seven billion, six hundred thirty-one million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 601 780 1202 1803 2404 3005 3606 6010 7212 7813 9015 12020 15626 18030 23439 31252 36060 39065 46878 78130 93756 117195 122939 156260 234390 245878 368817 468780 491756 614695 737634 1229390 1475268 1598207 1844085 2458780 3196414 3688170 4794621 6392828 7376340 7991035 9589242 15982070 19178484 23973105 31964140 47946210 73886339 95892420 147772678 221659017 295545356 369431695 443318034 738863390 886636068 960522407 1108295085 1477726780 1921044814 2216590170 2881567221 3842089628 4433180340 4802612035 5763134442 9605224070 11526268884 14407836105 19210448140 28815672210 57631344420