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1057213546866 = 2327110737920399
BaseRepresentation
bin11110110001001101101…
…01101000000101110010
310202001212000210202010100
433120212311220011302
5114310133131444431
62125402135213230
7136244510606451
oct17304665500562
93661760722110
101057213546866
113783a8538524
12150a8a817216
137890565c899
1439252c00b98
151c7795584e6
hexf626d68172

1057213546866 has 96 divisors (see below), whose sum is σ = 2350902528000. Its totient is φ = 343268966880.

The previous prime is 1057213546853. The next prime is 1057213546877. The reversal of 1057213546866 is 6686453127501.

It is a happy number.

1057213546866 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 13 + 546 + 86 + 6 = 666.

1057213546866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10572135468662 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51816535 + ... + 51836933.

It is an arithmetic number, because the mean of its divisors is an integer number (24488568000).

Almost surely, 21057213546866 is an apocalyptic number.

1057213546866 is an abundant number, since it is smaller than the sum of its proper divisors (1293688981134).

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

1057213546866 is a wasteful number, since it uses less digits than its factorization.

1057213546866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20964 (or 20961 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1057213546866 in words is "one trillion, fifty-seven billion, two hundred thirteen million, five hundred forty-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 71 107 142 213 214 321 379 426 639 642 758 963 1137 1278 1926 2274 3411 6822 7597 15194 20399 22791 26909 40553 40798 45582 53818 61197 68373 80727 81106 121659 122394 136746 161454 183591 242181 243318 364977 367182 484362 729954 1448329 2182693 2879263 2896658 4344987 4365386 5758526 6548079 7731221 8637789 8689974 13034961 13096158 15462442 17275578 19644237 23193663 25913367 26069922 39288474 46387326 51826734 69580989 139161978 154971203 309942406 464913609 548916691 827240647 929827218 1097833382 1394740827 1646750073 1654481294 2481721941 2789481654 3293500146 4940250219 4963443882 7445165823 9880500438 14890331646 58734085937 117468171874 176202257811 352404515622 528606773433 1057213546866