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47801382264 = 233223173166853
BaseRepresentation
bin101100100001001011…
…110011010101111000
311120101100201211002100
4230201023303111320
51240344123213024
633543141303400
73311364021336
oct544113632570
9146340654070
1047801382264
11192aa6a7aa9
129320704b60
13467a40359c
142456732b56
15139b84c7c9
hexb212f3578

47801382264 has 96 divisors (see below), whose sum is σ = 135872549280. Its totient is φ = 15152831232.

The previous prime is 47801382257. The next prime is 47801382281. The reversal of 47801382264 is 46228310874.

It is a happy number.

47801382264 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 1 + 382 + 264 = 666.

47801382264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203062 + ... + 369914.

It is an arithmetic number, because the mean of its divisors is an integer number (1415339055).

Almost surely, 247801382264 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 47801382264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936274640).

47801382264 is an abundant number, since it is smaller than the sum of its proper divisors (88071167016).

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

47801382264 is a wasteful number, since it uses less digits than its factorization.

47801382264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167061 (or 167054 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47801382264 in words is "forty-seven billion, eight hundred one million, three hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 173 184 207 276 346 414 519 552 692 828 1038 1384 1557 1656 2076 3114 3979 4152 6228 7958 11937 12456 15916 23874 31832 35811 47748 71622 95496 143244 166853 286488 333706 500559 667412 1001118 1334824 1501677 2002236 3003354 3837619 4004472 6006708 7675238 11512857 12013416 15350476 23025714 28865569 30700952 34538571 46051428 57731138 69077142 86596707 92102856 115462276 138154284 173193414 230924552 259790121 276308568 346386828 519580242 663908087 692773656 1039160484 1327816174 1991724261 2078320968 2655632348 3983448522 5311264696 5975172783 7966897044 11950345566 15933794088 23900691132 47801382264