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1152063420416 = 2111965944927
BaseRepresentation
bin10000110000111100010…
…101001011100000000000
311002010200021120120000222
4100300330111023200000
5122333411213423131
62241130045202212
7146143130333156
oct20607425134000
94063607516028
101152063420416
11404650848377
1216733b860368
138484019910c
143da8dc813d6
151ee7b58487b
hex10c3c54b800

1152063420416 has 96 divisors (see below), whose sum is σ = 2428538112000. Its totient is φ = 544874029056.

The previous prime is 1152063420407. The next prime is 1152063420427. The reversal of 1152063420416 is 6140243602511.

It is a super-2 number, since 2×11520634204162 (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 7 ways as a sum of consecutive naturals, for example, 25620545 + ... + 25665471.

It is an arithmetic number, because the mean of its divisors is an integer number (25297272000).

Almost surely, 21152063420416 is an apocalyptic number.

1152063420416 is a gapful number since it is divisible by the number (16) 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 1152063420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214269056000).

1152063420416 is an abundant number, since it is smaller than the sum of its proper divisors (1276474691584).

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

1152063420416 is an equidigital number, since it uses as much as digits as its factorization.

1152063420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45627 (or 45607 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1152063420416 in words is "one trillion, one hundred fifty-two billion, sixty-three million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 659 1024 1216 1318 2048 2432 2636 4864 5272 9728 10544 12521 19456 21088 25042 38912 42176 44927 50084 84352 89854 100168 168704 179708 200336 337408 359416 400672 674816 718832 801344 853613 1349632 1437664 1602688 1707226 2875328 3205376 3414452 5750656 6410752 6828904 11501312 12821504 13657808 23002624 25643008 27315616 29606893 46005248 54631232 59213786 92010496 109262464 118427572 218524928 236855144 437049856 473710288 562530967 874099712 947420576 1125061934 1748199424 1894841152 2250123868 3789682304 4500247736 7579364608 9000495472 15158729216 18000990944 30317458432 36001981888 60634916864 72003963776 144007927552 288015855104 576031710208 1152063420416