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42526400364 = 22327374560961
BaseRepresentation
bin100111100110110001…
…010101111101101100
311001202201220222021100
4213212301111331230
51144043224302424
631311504203100
73033562303350
oct474661257554
9131681828240
1042526400364
1117043054028
1282aa009490
1340195c6416
1420b5d31460
15118d6c9dc9
hex9e6c55f6c

42526400364 has 72 divisors (see below), whose sum is σ = 126174452768. Its totient is φ = 11822008320.

The previous prime is 42526400237. The next prime is 42526400387. The reversal of 42526400364 is 46300462524.

42526400364 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 640 + 0 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271157 + ... + 2289804.

Almost surely, 242526400364 is an apocalyptic number.

It is an amenable number.

42526400364 is an abundant number, since it is smaller than the sum of its proper divisors (83648052404).

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

42526400364 is a wasteful number, since it uses less digits than its factorization.

42526400364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561015 (or 4561010 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 42526400364 its reverse (46300462524), we get a palindrome (88826862888).

The spelling of 42526400364 in words is "forty-two billion, five hundred twenty-six million, four hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 4560961 9121922 13682883 18243844 27365766 31926727 41048649 54731532 63853454 82097298 95780181 127706908 164194596 168755557 191560362 287340543 337511114 383120724 506266671 574681086 675022228 1012533342 1149362172 1181288899 1518800013 2025066684 2362577798 3037600026 3543866697 4725155596 6075200052 7087733394 10631600091 14175466788 21263200182 42526400364