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1118680280448 = 2737149378311
BaseRepresentation
bin10000010001110110100…
…010100110110110000000
310221221111202022100002120
4100101312202212312000
5121312024122433243
62213525320444240
7143551640330403
oct20216642466600
93857452270076
101118680280448
113a147a9441a5
12160983919680
138164cc32363
143c2043b7d3a
151e175933c83
hex104768a6d80

1118680280448 has 128 divisors (see below), whose sum is σ = 3014319536640. Its totient is φ = 367522713600.

The previous prime is 1118680280423. The next prime is 1118680280461. The reversal of 1118680280448 is 8440820868111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1118680280448.

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, 134598213 + ... + 134606523.

It is an arithmetic number, because the mean of its divisors is an integer number (23549371380).

Almost surely, 21118680280448 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 1118680280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507159768320).

1118680280448 is an abundant number, since it is smaller than the sum of its proper divisors (1895639256192).

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

1118680280448 is an equidigital number, since it uses as much as digits as its factorization.

1118680280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 1118680280448 in words is "one trillion, one hundred eighteen billion, six hundred eighty million, two hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 4937 6816 8311 9088 9874 13632 14811 16622 19748 24933 27264 29622 33244 39496 49866 59244 66488 78992 99732 118488 132976 157984 199464 236976 265952 315968 350527 398928 473952 531904 590081 631936 701054 797856 947904 1051581 1063808 1180162 1402108 1595712 1770243 1895808 2103162 2360324 2804216 3191424 3540486 4206324 4720648 5608432 7080972 8412648 9441296 11216864 14161944 16825296 18882592 22433728 28323888 33650592 37765184 41031407 44867456 56647776 67301184 75530368 82062814 113295552 123094221 134602368 164125628 226591104 246188442 328251256 492376884 656502512 984753768 1313005024 1969507536 2626010048 2913229897 3939015072 5252020096 5826459794 7878030144 8739689691 11652919588 15756060288 17479379382 23305839176 34958758764 46611678352 69917517528 93223356704 139835035056 186446713408 279670070112 372893426816 559340140224 1118680280448