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1120579468048 = 242931314275407
BaseRepresentation
bin10000010011100111101…
…111011011101100010000
310222010102002222001201001
4100103213233123230100
5121324421320434143
62214442002551344
7143650001214445
oct20234757335420
93863362861631
101120579468048
113a2264994a27
12161213968554
13818935401c1
143c34470d9cc
151e23753114d
hex104e7bdbb10

1120579468048 has 80 divisors (see below), whose sum is σ = 2255160660480. Its totient is φ = 538763516928.

The previous prime is 1120579468007. The next prime is 1120579468067. The reversal of 1120579468048 is 8408649750211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120579468048.

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, 207243361 + ... + 207248767.

It is an arithmetic number, because the mean of its divisors is an integer number (28189508256).

Almost surely, 21120579468048 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 1120579468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127580330240).

1120579468048 is an abundant number, since it is smaller than the sum of its proper divisors (1134581192432).

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

1120579468048 is a wasteful number, since it uses less digits than its factorization.

1120579468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 1120579468048 in words is "one trillion, one hundred twenty billion, five hundred seventy-nine million, four hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 313 464 626 1252 1427 2504 2854 5008 5407 5708 9077 10814 11416 18154 21628 22832 36308 41383 43256 72616 82766 86512 145232 156803 165532 313606 331064 446651 627212 662128 893302 1254424 1692391 1786604 2508848 3384782 3573208 6769564 7146416 7715789 12952879 13539128 15431578 25905758 27078256 30863156 49079339 51811516 61726312 98158678 103623032 123452624 196317356 207246064 223757881 392634712 447515762 785269424 895031524 1790063048 2415041957 3580126096 4830083914 9660167828 19320335656 38640671312 70036216753 140072433506 280144867012 560289734024 1120579468048