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3880447003056 = 2431331613288559
BaseRepresentation
bin111000011101111100101…
…010100100100110110000
3111201222010000122012100110
4320131330222210212300
51002034123413044211
612130352554221320
7550232044205451
oct70357452444660
914658100565313
103880447003056
111266763196568
12528081a24840
13221c033cbc20
14d5b59515128
156ae1539eea6
hex3877caa49b0

3880447003056 has 160 divisors (see below), whose sum is σ = 11326537277440. Its totient is φ = 1136525644800.

The previous prime is 3880447003009. The next prime is 3880447003079. The reversal of 3880447003056 is 6503007440883.

3880447003056 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 3880447002996 and 3880447003014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464296 + ... + 2824263.

It is an arithmetic number, because the mean of its divisors is an integer number (70790857984).

Almost surely, 23880447003056 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 3880447003056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663268638720).

3880447003056 is an abundant number, since it is smaller than the sum of its proper divisors (7446090274384).

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

3880447003056 is a wasteful number, since it uses less digits than its factorization.

3880447003056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288675 (or 3288669 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 3880447003056 in words is "three trillion, eight hundred eighty billion, four hundred forty-seven million, three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 61 62 78 93 104 122 124 156 183 186 208 244 248 312 366 372 403 488 496 624 732 744 793 806 976 1209 1464 1488 1586 1612 1891 2379 2418 2928 3172 3224 3782 4758 4836 5673 6344 6448 7564 9516 9672 11346 12688 15128 19032 19344 22692 24583 30256 38064 45384 49166 73749 90768 98332 147498 196664 294996 393328 589992 1179984 3288559 6577118 9865677 13154236 19731354 26308472 39462708 42751267 52616944 78925416 85502534 101945329 128253801 157850832 171005068 200602099 203890658 256507602 305835987 342010136 401204198 407781316 513015204 601806297 611671974 684020272 802408396 815562632 1026030408 1203612594 1223343948 1325289277 1604816792 1631125264 2052060816 2407225188 2446687896 2607827287 2650578554 3209633584 3975867831 4814450376 4893375792 5215654574 5301157108 6218665069 7823481861 7951735662 9628900752 10431309148 10602314216 12437330138 15646963722 15903471324 18655995207 20862618296 21204628432 24874660276 31293927444 31806942648 37311990414 41725236592 49749320552 62587854888 63613885296 74623980828 80842645897 99498641104 125175709776 149247961656 161685291794 242527937691 298495923312 323370583588 485055875382 646741167176 970111750764 1293482334352 1940223501528 3880447003056