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47921387346 = 2347172485807
BaseRepresentation
bin101100101000010101…
…100101011101010010
311120200201112201010000
4230220111211131102
51241120333343341
634003105350430
73314352033360
oct545025453522
9146621481100
1047921387346
1119361412658
129354938416
13469922c901
142468650630
1513a71548b6
hexb28565752

47921387346 has 80 divisors (see below), whose sum is σ = 129938155776. Its totient is φ = 12886418304.

The previous prime is 47921387341. The next prime is 47921387387. The reversal of 47921387346 is 64378312974.

47921387346 is a `hidden beast` number, since 4 + 7 + 9 + 213 + 87 + 346 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47921387292 and 47921387301.

It is not an unprimeable number, because it can be changed into a prime (47921387341) 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 39 ways as a sum of consecutive naturals, for example, 1223626 + ... + 1262181.

Almost surely, 247921387346 is an apocalyptic number.

47921387346 is an abundant number, since it is smaller than the sum of its proper divisors (82016768430).

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

47921387346 is a wasteful number, since it uses less digits than its factorization.

47921387346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485845 (or 2485836 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 47921387346 in words is "forty-seven billion, nine hundred twenty-one million, three hundred eighty-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 19278 2485807 4971614 7457421 14914842 17400649 22372263 34801298 42258719 44744526 52201947 67116789 84517438 104403894 126776157 134233578 156605841 201350367 253552314 295811033 313211682 380328471 402700734 469817523 591622066 760656942 887433099 939635046 1140985413 1409452569 1774866198 2281970826 2662299297 2818905138 3422956239 5324598594 6845912478 7986897891 15973795782 23960693673 47921387346