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2059089275136 = 28319703920047
BaseRepresentation
bin11101111101101011010…
…010001110100100000000
321021211212110202001001210
4131331223102032210000
5232214003323301021
64213533233130120
7301523103025155
oct35755322164400
97254773661053
102059089275136
11724289240873
122930949b9940
1311c22c4113ba
14719363d422c
15388657d5e76
hex1df6b48e900

2059089275136 has 144 divisors (see below), whose sum is σ = 5769718169600. Its totient is φ = 650113910784.

The previous prime is 2059089275119. The next prime is 2059089275143. The reversal of 2059089275136 is 6315729809502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102703065 + ... + 102723111.

Almost surely, 22059089275136 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 2059089275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884859084800).

2059089275136 is an abundant number, since it is smaller than the sum of its proper divisors (3710628894464).

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

2059089275136 is a wasteful number, since it uses less digits than its factorization.

2059089275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27124 (or 27110 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 2059089275136 in words is "two trillion, fifty-nine billion, eighty-nine million, two hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7039 7296 14078 14592 20047 21117 28156 40094 42234 56312 60141 80188 84468 112624 120282 133741 160376 168936 225248 240564 267482 320752 337872 380893 401223 450496 481128 534964 641504 675744 761786 802446 900992 962256 1069928 1142679 1283008 1351488 1523572 1604892 1801984 1924512 2139856 2285358 2566016 2702976 3047144 3209784 3849024 4279712 4570716 5132032 5405952 6094288 6419568 7698048 8559424 9141432 12188576 12839136 15396096 17118848 18282864 24377152 25678272 34237696 36565728 48754304 51356544 73131456 97508608 102713088 141110833 146262912 282221666 292525824 423332499 564443332 846664998 1128886664 1693329996 2257773328 2681105827 3386659992 4515546656 5362211654 6773319984 8043317481 9031093312 10724423308 13546639968 16086634962 18062186624 21448846616 27093279936 32173269924 36124373248 42897693232 54186559872 64346539848 85795386464 108373119744 128693079696 171590772928 257386159392 343181545856 514772318784 686363091712 1029544637568 2059089275136