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47921160336 = 2437278725889
BaseRepresentation
bin101100101000010100…
…101110000010010000
311120200201010011201020
4230220110232002100
51241120304112321
634003100435440
73314350066500
oct545024560220
9146621104636
1047921160336
1119361278045
129354848b80
13469918049a
1424685d1a00
1513a710c4c6
hexb2852e090

47921160336 has 120 divisors (see below), whose sum is σ = 144196529760. Its totient is φ = 13673834496.

The previous prime is 47921160283. The next prime is 47921160341. The reversal of 47921160336 is 63306112974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1838080 + ... + 1863968.

It is an arithmetic number, because the mean of its divisors is an integer number (1201637748).

Almost surely, 247921160336 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 47921160336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72098264880).

47921160336 is an abundant number, since it is smaller than the sum of its proper divisors (96275369424).

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

47921160336 is a wasteful number, since it uses less digits than its factorization.

47921160336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26701 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 47921160336 in words is "forty-seven billion, nine hundred twenty-one million, one hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 787 1176 1574 2352 2361 3148 4722 5509 6296 9444 11018 12592 16527 18888 22036 25889 33054 37776 38563 44072 51778 66108 77126 77667 88144 103556 115689 132216 154252 155334 181223 207112 231378 264432 308504 310668 362446 414224 462756 543669 617008 621336 724892 925512 1087338 1242672 1268561 1449784 1851024 2174676 2537122 2899568 3805683 4349352 5074244 7611366 8698704 10148488 15222732 20296976 20374643 30445464 40749286 60890928 61123929 81498572 122247858 142622501 162997144 244495716 285245002 325994288 427867503 488991432 570490004 855735006 977982864 998357507 1140980008 1711470012 1996715014 2281960016 2995072521 3422940024 3993430028 5990145042 6845880048 7986860056 11980290084 15973720112 23960580168 47921160336