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4348668924864 = 263311228780983
BaseRepresentation
bin111111010010000000110…
…111011101001111000000
3120101201200012210021111000
4333102000313131033000
51032222033221043424
613125430111052000
7626116032653625
oct77220067351700
916351605707430
104348668924864
111427295269520
125a2974511000
1325710199b924
141106960c234c
15781bb2313c9
hex3f480ddd3c0

4348668924864 has 112 divisors (see below), whose sum is σ = 13946488784640. Its totient is φ = 1317778456320.

The previous prime is 4348668924863. The next prime is 4348668924883. The reversal of 4348668924864 is 4684298668434.

4348668924864 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 66 + 89 + 2 + 486 + 4 = 666.

4348668924864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4348668924792 and 4348668924801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348668924863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114371484 + ... + 114409499.

Almost surely, 24348668924864 is an apocalyptic number.

4348668924864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4348668924864 is an abundant number, since it is smaller than the sum of its proper divisors (9597819859776).

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

4348668924864 is a wasteful number, since it uses less digits than its factorization.

4348668924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228781015 (or 228780999 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 4348668924864 in words is "four trillion, three hundred forty-eight billion, six hundred sixty-eight million, nine hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 228780983 457561966 686342949 915123932 1372685898 1830247864 2059028847 2516590813 2745371796 3660495728 4118057694 5033181626 5490743592 6177086541 7320991456 7549772439 8236115388 10066363252 10981487184 12354173082 14641982912 15099544878 16472230776 20132726504 21962974368 22649317317 24708346164 30199089756 32944461552 40265453008 43925948736 45298634634 49416692328 60398179512 65888923104 67947951951 80530906016 90597269268 98833384656 120796359024 131777846208 135895903902 161061812032 181194538536 197666769312 241592718048 271791807804 362389077072 395333538624 483185436096 543583615608 724778154144 1087167231216 1449556308288 2174334462432 4348668924864