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47986378752 = 211313600791
BaseRepresentation
bin101100101100001101…
…100000100000000000
311120212020211121120010
4230230031200200000
51241234003110002
634013350344520
73316101326604
oct545415404000
9146766747503
1047986378752
1119395072664
12937265b140
1346a9836770
14247312b504
1513acbe146c
hexb2c360800

47986378752 has 96 divisors (see below), whose sum is σ = 137773621440. Its totient is φ = 14765015040.

The previous prime is 47986378751. The next prime is 47986378837. The reversal of 47986378752 is 25787368974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47986378751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220524 + ... + 380267.

It is an arithmetic number, because the mean of its divisors is an integer number (1435141890).

Almost surely, 247986378752 is an apocalyptic number.

It is an amenable number.

47986378752 is an abundant number, since it is smaller than the sum of its proper divisors (89787242688).

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

47986378752 is a wasteful number, since it uses less digits than its factorization.

47986378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600829 (or 600809 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

The spelling of 47986378752 in words is "forty-seven billion, nine hundred eighty-six million, three hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 39936 79872 600791 1201582 1802373 2403164 3604746 4806328 7209492 7810283 9612656 14418984 15620566 19225312 23430849 28837968 31241132 38450624 46861698 57675936 62482264 76901248 93723396 115351872 124964528 153802496 187446792 230703744 249929056 307604992 374893584 461407488 499858112 615209984 749787168 922814976 999716224 1230419968 1499574336 1845629952 1999432448 2999148672 3691259904 3998864896 5998297344 7997729792 11996594688 15995459584 23993189376 47986378752