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1050683057536 = 27731331114281
BaseRepresentation
bin11110100101000011001…
…01110010010110000000
310201102222220112111220011
433102201211302112000
5114203244330320121
62122402132154304
7135623622430120
oct17224145622600
93642886474804
101050683057536
11375657216202
1214b767768994
13781046c5108
1438bd3780c80
151c4e60837e1
hexf4a1972580

1050683057536 has 128 divisors (see below), whose sum is σ = 2476829214720. Its totient is φ = 434446848000.

The previous prime is 1050683057531. The next prime is 1050683057591. The reversal of 1050683057536 is 6357503860501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10506830575362 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1050683057536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050683057531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9136716 + ... + 9250996.

It is an arithmetic number, because the mean of its divisors is an integer number (19350228240).

Almost surely, 21050683057536 is an apocalyptic number.

1050683057536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050683057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238414607360).

1050683057536 is an abundant number, since it is smaller than the sum of its proper divisors (1426146157184).

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

1050683057536 is a wasteful number, since it uses less digits than its factorization.

1050683057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114664 (or 114652 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

The spelling of 1050683057536 in words is "one trillion, fifty billion, six hundred eighty-three million, fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 331 434 448 496 662 868 896 992 1324 1736 1984 2317 2648 3472 3968 4634 5296 6944 9268 10261 10592 13888 18536 20522 21184 27776 37072 41044 42368 71827 74144 82088 114281 143654 148288 164176 228562 287308 296576 328352 457124 574616 656704 799967 914248 1149232 1313408 1599934 1828496 2298464 3199868 3542711 3656992 4596928 6399736 7085422 7313984 9193856 12799472 14170844 14627968 24798977 25598944 28341688 37827011 49597954 51197888 56683376 75654022 99195908 102395776 113366752 151308044 198391816 226733504 264789077 302616088 396783632 453467008 529578154 605232176 793567264 1059156308 1172637341 1210464352 1587134528 2118312616 2345274682 2420928704 3174269056 4236625232 4690549364 4841857408 8208461387 8473250464 9381098728 16416922774 16946500928 18762197456 32833845548 33893001856 37524394912 65667691096 75048789824 131335382192 150097579648 262670764384 525341528768 1050683057536