Search a number
-
+
42154650504 = 2335191141289
BaseRepresentation
bin100111010000100111…
…001110101110001000
311000210211102010100000
4213100213032232020
51142313042304004
631210544243000
73021426421461
oct472047165610
9130724363300
1042154650504
111697222393a
128205610460
133c8a5964a5
14207c801d68
15116ac46c39
hex9d09ceb88

42154650504 has 96 divisors (see below), whose sum is σ = 124628868000. Its totient is φ = 13311983232.

The previous prime is 42154650481. The next prime is 42154650511. The reversal of 42154650504 is 40505645124.

42154650504 is a `hidden beast` number, since 42 + 1 + 54 + 65 + 0 + 504 = 666.

It is a super-2 number, since 2×421546505042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533709 + ... + 607580.

It is an arithmetic number, because the mean of its divisors is an integer number (1298217375).

Almost surely, 242154650504 is an apocalyptic number.

It is an amenable number.

42154650504 is an abundant number, since it is smaller than the sum of its proper divisors (82474217496).

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

42154650504 is a wasteful number, since it uses less digits than its factorization.

42154650504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141329 (or 1141313 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42154650504 in words is "forty-two billion, one hundred fifty-four million, six hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 4104 4617 6156 9234 12312 18468 36936 1141289 2282578 3423867 4565156 6847734 9130312 10271601 13695468 20543202 21684491 27390936 30814803 41086404 43368982 61629606 65053473 82172808 86737964 92444409 123259212 130106946 173475928 184888818 195160419 246518424 260213892 277333227 369777636 390320838 520427784 554666454 585481257 739555272 780641676 1109332908 1170962514 1561283352 1756443771 2218665816 2341925028 3512887542 4683850056 5269331313 7025775084 10538662626 14051550168 21077325252 42154650504