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47893000920 = 23352309172849
BaseRepresentation
bin101100100110101001…
…010011001011011000
311120121202010112020220
4230212221103023120
51241041102012140
634000213120040
73313555535202
oct544651231330
9146552115226
1047893000920
11193473944a6
129347329020
1346933a11cb
142464981772
1513a48e8bd0
hexb26a532d8

47893000920 has 64 divisors (see below), whose sum is σ = 143742060000. Its totient is φ = 12765861888.

The previous prime is 47893000889. The next prime is 47893000927. The reversal of 47893000920 is 2900039874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47893000927) by changing a digit.

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, 190656 + ... + 363504.

Almost surely, 247893000920 is an apocalyptic number.

47893000920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47893000920 is an abundant number, since it is smaller than the sum of its proper divisors (95849059080).

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

47893000920 is a wasteful number, since it uses less digits than its factorization.

47893000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175172 (or 175168 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 47893000920 in words is "forty-seven billion, eight hundred ninety-three million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2309 4618 6927 9236 11545 13854 18472 23090 27708 34635 46180 55416 69270 92360 138540 172849 277080 345698 518547 691396 864245 1037094 1382792 1728490 2074188 2592735 3456980 4148376 5185470 6913960 10370940 20741880 399108341 798216682 1197325023 1596433364 1995541705 2394650046 3192866728 3991083410 4789300092 5986625115 7982166820 9578600184 11973250230 15964333640 23946500460 47893000920