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1120060511152 = 241143941157279
BaseRepresentation
bin10000010011001000110…
…011110001001110110000
310222002001221110022200021
4100103020303301032300
5121322340442324102
62214314303533224
7143631100154542
oct20231063611660
93862057408607
101120060511152
113a2018a5aa30
121610a9bba214
138180cb7b70b
143c2d5821692
151e206bc1137
hex104c8cf13b0

1120060511152 has 80 divisors (see below), whose sum is σ = 2425046215680. Its totient is φ = 496746835200.

The previous prime is 1120060511149. The next prime is 1120060511177. The reversal of 1120060511152 is 2511150600211.

It is an unprimeable number.

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, 7042849 + ... + 7200127.

It is an arithmetic number, because the mean of its divisors is an integer number (30313077696).

Almost surely, 21120060511152 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 1120060511152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212523107840).

1120060511152 is an abundant number, since it is smaller than the sum of its proper divisors (1304985704528).

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

1120060511152 is a wasteful number, since it uses less digits than its factorization.

1120060511152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158282 (or 158276 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 1120060511152 in words is "one trillion, one hundred twenty billion, sixty million, five hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 941 946 1882 1892 3764 3784 7528 7568 10351 15056 20702 40463 41404 80926 82808 157279 161852 165616 314558 323704 445093 629116 647408 890186 1258232 1730069 1780372 2516464 3460138 3560744 6762997 6920276 7121488 13525994 13840552 27051988 27681104 54103976 74392967 108207952 147999539 148785934 295999078 297571868 591998156 595143736 1183996312 1190287472 1627994929 2367992624 3255989858 6363980177 6511979716 12727960354 13023959432 25455920708 26047918864 50911841416 70003781947 101823682832 140007563894 280015127788 560030255576 1120060511152