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42744207968 = 2571137468851
BaseRepresentation
bin100111110011110000…
…001101101001100000
311002022220202202010122
4213303300031221200
51200020004123333
631345244415412
73042145526060
oct476360155140
9132286682118
1042744207968
1117144a9a110
12834ab47568
134052776c67
1420d6c2b3a0
1511a28a0798
hex9f3c0da60

42744207968 has 96 divisors (see below), whose sum is σ = 107753442048. Its totient is φ = 16203456000.

The previous prime is 42744207943. The next prime is 42744207977. The reversal of 42744207968 is 86970244724.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 143258 + ... + 325593.

It is an arithmetic number, because the mean of its divisors is an integer number (1122431688).

Almost surely, 242744207968 is an apocalyptic number.

It is an amenable number.

42744207968 is an abundant number, since it is smaller than the sum of its proper divisors (65009234080).

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

42744207968 is a wasteful number, since it uses less digits than its factorization.

42744207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468916 (or 468908 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 42744207968 in words is "forty-two billion, seven hundred forty-four million, two hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 45584 91168 468851 937702 1875404 3281957 3750808 5157361 6563914 7501616 10314722 13127828 15003232 17347487 20629444 26255656 34694974 36101527 41258888 52511312 69389948 72203054 82517776 105022624 121432409 138779896 144406108 165035552 190822357 242864818 277559792 288812216 381644714 485729636 555119584 577624432 763289428 971459272 1155248864 1335756499 1526578856 1942918544 2671512998 3053157712 3885837088 5343025996 6106315424 10686051992 21372103984 42744207968