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1121665433416 = 231171631284507
BaseRepresentation
bin10000010100101000011…
…110000011111101001000
310222020012210101211010121
4100110220132003331020
5121334132322332131
62215141434553024
7144015625605313
oct20245036037510
93866183354117
101121665433416
113a2771993870
12161477598774
1381a07518a68
143c408a3797a
151e29ca43911
hex10528783f48

1121665433416 has 64 divisors (see below), whose sum is σ = 2330325365760. Its totient is φ = 501868584000.

The previous prime is 1121665433363. The next prime is 1121665433417. The reversal of 1121665433416 is 6143345661211.

It is not an unprimeable number, because it can be changed into a prime (1121665433417) 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, 3800235 + ... + 4084741.

It is an arithmetic number, because the mean of its divisors is an integer number (36411333840).

Almost surely, 21121665433416 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 1121665433416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165162682880).

1121665433416 is an abundant number, since it is smaller than the sum of its proper divisors (1208659932344).

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

1121665433416 is a wasteful number, since it uses less digits than its factorization.

1121665433416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285226 (or 285222 counting only the distinct ones).

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

The spelling of 1121665433416 in words is "one trillion, one hundred twenty-one billion, six hundred sixty-five million, four hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 631 781 1262 1562 2524 3124 5048 6248 6941 13882 27764 44801 55528 89602 179204 284507 358408 492811 569014 985622 1138028 1971244 2276056 3129577 3942488 6259154 12518308 20199997 25036616 40399994 80799988 161599976 179523917 222199967 359047834 444399934 718095668 888799868 1436191336 1777599736 1974763087 3949526174 7899052348 12746198107 15798104696 25492396214 50984792428 101969584856 140208179177 280416358354 560832716708 1121665433416