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47976385984 = 2617213918661
BaseRepresentation
bin101100101011100111…
…011000110111000000
311120211120000221001121
4230223213120313000
51241223423322414
634012352242024
73315620360302
oct545347306700
9146746027047
1047976385984
111938a46797a
12936b240314
1346a7748297
142471a89972
1513abdba724
hexb2b9d8dc0

47976385984 has 84 divisors (see below), whose sum is σ = 101865780520. Its totient is φ = 22413496320.

The previous prime is 47976385969. The next prime is 47976386009. The reversal of 47976385984 is 48958367974.

It is a happy number.

47976385984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×479763859842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2561614 + ... + 2580274.

Almost surely, 247976385984 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 47976385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932890260).

47976385984 is an abundant number, since it is smaller than the sum of its proper divisors (53889394536).

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

47976385984 is a wasteful number, since it uses less digits than its factorization.

47976385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18846 (or 18819 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 70.

The spelling of 47976385984 in words is "forty-seven billion, nine hundred seventy-six million, three hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 139 272 278 289 544 556 578 1088 1112 1156 2224 2312 2363 4448 4624 4726 8896 9248 9452 18496 18661 18904 37322 37808 40171 74644 75616 80342 149288 151232 160684 298576 317237 321368 597152 634474 642736 1194304 1268948 1285472 2537896 2570944 2593879 5075792 5187758 5393029 10151584 10375516 10786058 20303168 20751032 21572116 41502064 43144232 44095943 83004128 86288464 88191886 166008256 172576928 176383772 345153856 352767544 705535088 749631031 1411070176 1499262062 2822140352 2998524124 5997048248 11994096496 23988192992 47976385984