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1161482281968 = 2439710917313229
BaseRepresentation
bin10000111001101101101…
…111010010001111110000
311010000222200211022002010
4100321231233102033300
5123012203431010333
62245324432122520
7146625420334011
oct20715557221760
94100880738063
101161482281968
11408644517478
1216912a096440
13856b1662b88
1440304b6b008
152032d3ed563
hex10e6dbd23f0

1161482281968 has 160 divisors (see below), whose sum is σ = 3077156174400. Its totient is φ = 377431031808.

The previous prime is 1161482281867. The next prime is 1161482282003. The reversal of 1161482281968 is 8691822841611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87791578 + ... + 87804806.

It is an arithmetic number, because the mean of its divisors is an integer number (19232226090).

Almost surely, 21161482281968 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 1161482281968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538578087200).

1161482281968 is an abundant number, since it is smaller than the sum of its proper divisors (1915673892432).

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

1161482281968 is a wasteful number, since it uses less digits than its factorization.

1161482281968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619 (or 13613 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 57.

The spelling of 1161482281968 in words is "one trillion, one hundred sixty-one billion, four hundred eighty-two million, two hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 109 173 194 218 291 327 346 388 436 519 582 654 692 776 872 1038 1164 1308 1384 1552 1744 2076 2328 2616 2768 4152 4656 5232 8304 10573 13229 16781 18857 21146 26458 31719 33562 37714 39687 42292 50343 52916 56571 63438 67124 75428 79374 84584 100686 105832 113142 126876 134248 150856 158748 169168 201372 211664 226284 253752 268496 301712 317496 402744 452568 507504 634992 805488 905136 1283213 1441961 1829129 2288617 2566426 2883922 3658258 3849639 4325883 4577234 5132852 5487387 5767844 6865851 7316516 7699278 8651766 9154468 10265704 10974774 11535688 13731702 14633032 15398556 17303532 18308936 20531408 21949548 23071376 27463404 29266064 30797112 34607064 36617872 43899096 54926808 61594224 69214128 87798192 109853616 139870217 221995849 249459253 279740434 419610651 443991698 498918506 559480868 665987547 748377759 839221302 887983396 997837012 1118961736 1331975094 1496755518 1678442604 1775966792 1995674024 2237923472 2663950188 2993511036 3356885208 3551933584 3991348048 5327900376 5987022072 6713770416 10655800752 11974044144 24197547541 48395095082 72592642623 96790190164 145185285246 193580380328 290370570492 387160760656 580741140984 1161482281968