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42674776728 = 233173712722259
BaseRepresentation
bin100111101111100111…
…010110101010011000
311002011002010021101020
4213233213112222120
51144344220323403
631334324322440
73040343421453
oct475747265230
9132132107336
1042674776728
1117109887421
12832b843420
13404127729c
1420cb91649a
15119b738453
hex9ef9d6a98

42674776728 has 128 divisors (see below), whose sum is σ = 116934451200. Its totient is φ = 12923172864.

The previous prime is 42674776709. The next prime is 42674776741. The reversal of 42674776728 is 82767747624.

It is a super-2 number, since 2×426747767282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1906063 + ... + 1928321.

It is an arithmetic number, because the mean of its divisors is an integer number (913550400).

Almost surely, 242674776728 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 42674776728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58467225600).

42674776728 is an abundant number, since it is smaller than the sum of its proper divisors (74259674472).

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

42674776728 is a wasteful number, since it uses less digits than its factorization.

42674776728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449 (or 22445 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 60.

The spelling of 42674776728 in words is "forty-two billion, six hundred seventy-four million, seven hundred seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 127 136 148 204 222 254 296 381 408 444 508 629 762 888 1016 1258 1524 1887 2159 2516 3048 3774 4318 4699 5032 6477 7548 8636 9398 12954 14097 15096 17272 18796 22259 25908 28194 37592 44518 51816 56388 66777 79883 89036 112776 133554 159766 178072 239649 267108 319532 378403 479298 534216 639064 756806 823583 958596 1135209 1513612 1647166 1917192 2270418 2470749 2826893 3027224 3294332 4540836 4941498 5653786 6588664 8480679 9081672 9882996 11307572 14000911 16961358 19765992 22615144 28001822 33922716 42002733 48057181 56003644 67845432 84005466 96114362 104595041 112007288 144171543 168010932 192228724 209190082 288343086 313785123 336021864 384457448 418380164 576686172 627570246 836760328 1153372344 1255140492 1778115697 2510280984 3556231394 5334347091 7112462788 10668694182 14224925576 21337388364 42674776728