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1121321482064 = 24789349322327
BaseRepresentation
bin10000010100010011111…
…101111111011101010000
310222012022211012021120122
4100110103331333131100
5121332431244411224
62215043350525412
7144004251222560
oct20242375773520
93865284167518
101121321482064
113a2605820053
121613a0366868
138198119ca54
143c3b50a2da0
151e27c75215e
hex10513f7f750

1121321482064 has 80 divisors (see below), whose sum is σ = 2518026336000. Its totient is φ = 473803748352.

The previous prime is 1121321482051. The next prime is 1121321482121. The reversal of 1121321482064 is 4602841231211.

It is a super-2 number, since 2×11213214820642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3317669 + ... + 3639995.

It is an arithmetic number, because the mean of its divisors is an integer number (31475329200).

Almost surely, 21121321482064 is an apocalyptic number.

1121321482064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121321482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259013168000).

1121321482064 is an abundant number, since it is smaller than the sum of its proper divisors (1396704853936).

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

1121321482064 is a wasteful number, since it uses less digits than its factorization.

1121321482064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322780 (or 322774 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 1121321482064 in words is "one trillion, one hundred twenty-one billion, three hundred twenty-one million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 349 356 623 698 712 1246 1396 1424 2443 2492 2792 4886 4984 5584 9772 9968 19544 31061 39088 62122 124244 217427 248488 322327 434854 496976 644654 869708 1289308 1739416 2256289 2578616 3478832 4512578 5157232 9025156 18050312 28687103 36100624 57374206 112492123 114748412 200809721 224984246 229496824 401619442 449968492 458993648 787444861 803238884 899936984 1574889722 1606477768 1799873968 3149779444 3212955536 6299558888 10011798947 12599117776 20023597894 40047195788 70082592629 80094391576 140165185258 160188783152 280330370516 560660741032 1121321482064