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47678003340 = 223511151147809
BaseRepresentation
bin101100011001110101…
…001001100010001100
311120001202120112000120
4230121311021202030
51240121032101330
633523013024540
73305335225122
oct543165114214
9146052515016
1047678003340
1119246a98650
1292a7325150
13465a9956c6
1424441b7912
151390acac10
hexb19d4988c

47678003340 has 96 divisors (see below), whose sum is σ = 145734059520. Its totient is φ = 11550412800.

The previous prime is 47678003333. The next prime is 47678003363. The reversal of 47678003340 is 4330087674.

It is a junction number, because it is equal to n+sod(n) for n = 47678003292 and 47678003301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973356 + ... + 1021164.

It is an arithmetic number, because the mean of its divisors is an integer number (1518063120).

Almost surely, 247678003340 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 47678003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72867029760).

47678003340 is an abundant number, since it is smaller than the sum of its proper divisors (98056056180).

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

47678003340 is a wasteful number, since it uses less digits than its factorization.

47678003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49343 (or 49341 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 47678003340 in words is "forty-seven billion, six hundred seventy-eight million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1511 3022 4533 6044 7555 9066 15110 16621 18132 22665 30220 33242 45330 47809 49863 66484 83105 90660 95618 99726 143427 166210 191236 199452 239045 249315 286854 332420 478090 498630 525899 573708 717135 956180 997260 1051798 1434270 1577697 2103596 2629495 2868540 3155394 5258990 6310788 7888485 10517980 15776970 31553940 72239399 144478798 216718197 288957596 361196995 433436394 722393990 794633389 866872788 1083590985 1444787980 1589266778 2167181970 2383900167 3178533556 3973166945 4334363940 4767800334 7946333890 9535600668 11919500835 15892667780 23839001670 47678003340