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1161342351664 = 241113770967933
BaseRepresentation
bin10000111001100101011…
…001011111100100110000
311010000121221112002210021
4100321211121133210300
5123011412120223124
62245302513013224
7146622101053645
oct20714531374460
94100557462707
101161342351664
114085825327a0
121690ab254214
138568b67b491
14402d0343dcc
1520320eac7e4
hex10e6565f930

1161342351664 has 80 divisors (see below), whose sum is σ = 2476096475040. Its totient is φ = 523282913280.

The previous prime is 1161342351647. The next prime is 1161342351667. The reversal of 1161342351664 is 4661532431611.

It is a self number, because there is not a number n which added to its sum of digits gives 1161342351664.

It is not an unprimeable number, because it can be changed into a prime (1161342351667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17061442 + ... + 17129374.

It is an arithmetic number, because the mean of its divisors is an integer number (30951205938).

Almost surely, 21161342351664 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 1161342351664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238048237520).

1161342351664 is an abundant number, since it is smaller than the sum of its proper divisors (1314754123376).

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

1161342351664 is a wasteful number, since it uses less digits than its factorization.

1161342351664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68798 (or 68792 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The spelling of 1161342351664 in words is "one trillion, one hundred sixty-one billion, three hundred forty-two million, three hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 709 1096 1418 1507 2192 2836 3014 5672 6028 7799 11344 12056 15598 24112 31196 62392 67933 97133 124784 135866 194266 271732 388532 543464 747263 777064 1068463 1086928 1494526 1554128 2136926 2989052 4273852 5978104 8547704 9306821 11956208 17095408 18613642 37227284 48164497 74454568 96328994 102375031 148909136 192657988 204750062 385315976 409500124 529809467 770631952 819000248 1059618934 1638000496 2119237868 4238475736 6598536089 8476951472 13197072178 26394144356 52788288712 72583896979 105576577424 145167793958 290335587916 580671175832 1161342351664