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42212736504 = 233212743110711
BaseRepresentation
bin100111010100000100…
…110011110111111000
311000221212201012100100
4213110010303313320
51142422430032004
631220421235400
73023033224431
oct472404636770
9130855635310
1042212736504
11169a1a977a4
128220b62b60
133c996231c3
142086402488
151170dbc739
hex9d4133df8

42212736504 has 96 divisors (see below), whose sum is σ = 115504496640. Its totient is φ = 13926427200.

The previous prime is 42212736497. The next prime is 42212736539. The reversal of 42212736504 is 40563721224.

42212736504 is a `hidden beast` number, since 4 + 22 + 127 + 3 + 6 + 504 = 666.

It is a super-2 number, since 2×422127365042 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3935709 + ... + 3946419.

It is an arithmetic number, because the mean of its divisors is an integer number (1203171840).

Almost surely, 242212736504 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 42212736504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57752248320).

42212736504 is an abundant number, since it is smaller than the sum of its proper divisors (73291760136).

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

42212736504 is a wasteful number, since it uses less digits than its factorization.

42212736504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11281 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42212736504 in words is "forty-two billion, two hundred twelve million, seven hundred thirty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 431 508 762 862 1016 1143 1293 1524 1724 2286 2586 3048 3448 3879 4572 5172 7758 9144 10344 10711 15516 21422 31032 32133 42844 54737 64266 85688 96399 109474 128532 164211 192798 218948 257064 328422 385596 437896 492633 656844 771192 985266 1313688 1360297 1970532 2720594 3941064 4080891 4616441 5441188 8161782 9232882 10882376 12242673 13849323 16323564 18465764 24485346 27698646 32647128 36931528 41547969 48970692 55397292 83095938 97941384 110794584 166191876 332383752 586288007 1172576014 1758864021 2345152028 3517728042 4690304056 5276592063 7035456084 10553184126 14070912168 21106368252 42212736504