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9943384048 = 2413217297459
BaseRepresentation
bin10010100001010101…
…11111111111110000
3221122222020020122021
421100222333333300
5130331001242143
64322401121224
7501256240603
oct112052777760
927588206567
109943384048
114242865674
121b16029214
13c26056900
146a482633a
153d2e27ced
hex250abfff0

9943384048 has 120 divisors (see below), whose sum is σ = 22853113200. Its totient is φ = 4169797632.

The previous prime is 9943384021. The next prime is 9943384049. The reversal of 9943384048 is 8404833499.

It is a happy number.

It is a super-3 number, since 3×99433840483 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 9943383986 and 9943384004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9943384049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329343 + ... + 1336801.

It is an arithmetic number, because the mean of its divisors is an integer number (190442610).

Almost surely, 29943384048 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 9943384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426556600).

9943384048 is an abundant number, since it is smaller than the sum of its proper divisors (12909729152).

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

9943384048 is a wasteful number, since it uses less digits than its factorization.

9943384048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The square root of 9943384048 is about 99716.5184310002. The cubic root of 9943384048 is about 2150.3611470487.

The spelling of 9943384048 in words is "nine billion, nine hundred forty-three million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 17 26 29 34 52 58 68 104 116 136 169 208 221 232 272 338 377 442 464 493 676 754 884 986 1352 1508 1768 1972 2704 2873 3016 3536 3944 4901 5746 6032 6409 7459 7888 9802 11492 12818 14918 19604 22984 25636 29836 39208 45968 51272 59672 78416 83317 96967 102544 119344 126803 166634 193934 216311 253606 333268 387868 432622 507212 666536 775736 865244 1014424 1260571 1333072 1551472 1648439 1730488 2028848 2521142 2812043 3296878 3460976 3677287 5042284 5624086 6593756 7354574 10084568 11248172 13187512 14709148 20169136 21429707 22496344 26375024 29418296 36556559 42859414 44992688 47804731 58836592 73113118 85718828 95609462 146226236 171437656 191218924 292452472 342875312 382437848 584904944 621461503 764875696 1242923006 2485846012 4971692024 9943384048