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42726511278 = 232111091979729
BaseRepresentation
bin100111110010101100…
…101101001010101110
311002021200110122211200
4213302230231022232
51200000441330103
631343413230330
73041542232163
oct476254551256
9132250418750
1042726511278
1117136002350
1283450323a6
13404bbbc049
1420d474206a
1511a10570a3
hex9f2b2d2ae

42726511278 has 48 divisors (see below), whose sum is σ = 101916500400. Its totient is φ = 12828637440.

The previous prime is 42726511273. The next prime is 42726511283. The reversal of 42726511278 is 87211562724.

42726511278 is a `hidden beast` number, since 42 + 7 + 26 + 511 + 2 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (42726511273) and next prime (42726511283).

It is a super-2 number, since 2×427265112782 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42726511273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968283 + ... + 1011446.

It is an arithmetic number, because the mean of its divisors is an integer number (2123260425).

Almost surely, 242726511278 is an apocalyptic number.

42726511278 is an abundant number, since it is smaller than the sum of its proper divisors (59189989122).

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

42726511278 is a wasteful number, since it uses less digits than its factorization.

42726511278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979857 (or 1979854 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 42726511278 in words is "forty-two billion, seven hundred twenty-six million, five hundred eleven thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 654 981 1199 1962 2398 3597 7194 10791 21582 1979729 3959458 5939187 11878374 17817561 21777019 35635122 43554038 65331057 130662114 195993171 215790461 391986342 431580922 647371383 1294742766 1942114149 2373695071 3884228298 4747390142 7121085213 14242170426 21363255639 42726511278