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13953990288 = 2437223332543
BaseRepresentation
bin11001111111011100…
…01111111010010000
31100000110220011010010
430333232033322100
5212034210142123
610224350234520
71002535650300
oct147756177220
940013804103
1013953990288
115a10733487
1228551b5a40
131414c1cab4
1496533b600
1556a095993
hex33fb8fe90

13953990288 has 120 divisors (see below), whose sum is σ = 41967635328. Its totient is φ = 3983578368.

The previous prime is 13953990277. The next prime is 13953990353. The reversal of 13953990288 is 88209935931.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5485945 + ... + 5488487.

Almost surely, 213953990288 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 13953990288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983817664).

13953990288 is an abundant number, since it is smaller than the sum of its proper divisors (28013645040).

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

13953990288 is a wasteful number, since it uses less digits than its factorization.

13953990288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 13953990288 in words is "thirteen billion, nine hundred fifty-three million, nine hundred ninety thousand, two hundred eighty-eight".

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 1176 2333 2352 2543 4666 5086 6999 7629 9332 10172 13998 15258 16331 17801 18664 20344 27996 30516 32662 35602 37328 40688 48993 53403 55992 61032 65324 71204 97986 106806 111984 114317 122064 124607 130648 142408 195972 213612 228634 249214 261296 284816 342951 373821 391944 427224 457268 498428 685902 747642 783888 854448 914536 996856 1371804 1495284 1829072 1993712 2743608 2990568 5487216 5932819 5981136 11865638 17798457 23731276 35596914 41529733 47462552 71193828 83059466 94925104 124589199 142387656 166118932 249178398 284775312 290708131 332237864 498356796 581416262 664475728 872124393 996713592 1162832524 1744248786 1993427184 2325665048 3488497572 4651330096 6976995144 13953990288