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42726597456 = 2433317093793
BaseRepresentation
bin100111110010101101…
…000010001101010000
311002021200122001001110
4213302231002031100
51200001002104311
631343415133320
73041543041344
oct476255021520
9132250561043
1042726597456
1117136061074
128345074240
13404bc1c33a
1420d4765624
1511a10728a6
hex9f2b42350

42726597456 has 80 divisors (see below), whose sum is σ = 110895888320. Its totient is φ = 14175406080.

The previous prime is 42726597409. The next prime is 42726597457. The reversal of 42726597456 is 65479562724.

It is a junction number, because it is equal to n+sod(n) for n = 42726597396 and 42726597405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42726597457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11262696 + ... + 11266488.

It is an arithmetic number, because the mean of its divisors is an integer number (1386198604).

Almost surely, 242726597456 is an apocalyptic number.

It is an amenable number.

42726597456 is an abundant number, since it is smaller than the sum of its proper divisors (68169290864).

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

42726597456 is a wasteful number, since it uses less digits than its factorization.

42726597456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 42726597456 in words is "forty-two billion, seven hundred twenty-six million, five hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 331 662 709 993 1324 1418 1986 2127 2648 2836 3793 3972 4254 5296 5672 7586 7944 8508 11344 11379 15172 15888 17016 22758 30344 34032 45516 60688 91032 182064 234679 469358 704037 938716 1255483 1408074 1877432 2510966 2689237 2816148 3754864 3766449 5021932 5378474 5632296 7532898 8067711 10043864 10756948 11264592 15065796 16135422 20087728 21513896 30131592 32270844 43027792 60263184 64541688 129083376 890137447 1780274894 2670412341 3560549788 5340824682 7121099576 10681649364 14242199152 21363298728 42726597456