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1086842552664 = 2331129373919013
BaseRepresentation
bin11111101000011001101…
…11010100000101011000
310211220022221000012010110
433310030313110011120
5120301323143141124
62151142155444320
7141343654161531
oct17641467240530
93756287005113
101086842552664
11389a22318080
121567794566a0
137b647bca98b
143a863c75688
151d4107ed029
hexfd0cdd4158

1086842552664 has 128 divisors (see below), whose sum is σ = 2978413804800. Its totient is φ = 327760796160.

The previous prime is 1086842552651. The next prime is 1086842552669. The reversal of 1086842552664 is 4662552486801.

1086842552664 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 2×10868425526642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086842552669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57153622 + ... + 57172634.

It is an arithmetic number, because the mean of its divisors is an integer number (23268857850).

Almost surely, 21086842552664 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 1086842552664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489206902400).

1086842552664 is an abundant number, since it is smaller than the sum of its proper divisors (1891571252136).

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

1086842552664 is a wasteful number, since it uses less digits than its factorization.

1086842552664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20065 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 1086842552664 in words is "one trillion, eighty-six billion, eight hundred forty-two million, five hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 586 739 879 1172 1478 1758 2217 2344 2956 3223 3516 4434 5912 6446 7032 8129 8868 9669 12892 16258 17736 19013 19338 24387 25784 32516 38026 38676 48774 57039 65032 76052 77352 97548 114078 152104 195096 209143 216527 228156 418286 433054 456312 627429 649581 836572 866108 1254858 1299162 1673144 1732216 2381797 2509716 2598324 4763594 5019432 5196648 5570809 7145391 9527188 11141618 14050607 14290782 16712427 19054376 22283236 28101214 28581564 33424854 42151821 44566472 56202428 57163128 61278899 66849708 84303642 112404856 122557798 133699416 154556677 168607284 183836697 245115596 309113354 337214568 367673394 463670031 490231192 618226708 735346788 927340062 1236453416 1470693576 1854680124 3709360248 4116827851 8233655702 12350483553 16467311404 24700967106 32934622808 45285106361 49401934212 90570212722 98803868424 135855319083 181140425444 271710638166 362280850888 543421276332 1086842552664