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3145454856 = 233410944533
BaseRepresentation
bin1011101101111011…
…1101010100001000
322010012201122220000
42323132331110020
522420214023411
61240042003000
7140642632215
oct27336752410
98105648800
103145454856
111374588875
127394a6460
133b18816bb
1421ba6ab0c
15136226956
hexbb7bd508

3145454856 has 80 divisors (see below), whose sum is σ = 8891213100. Its totient is φ = 1038842496.

The previous prime is 3145454843. The next prime is 3145454887. The reversal of 3145454856 is 6584545413.

3145454856 is a `hidden beast` number, since 3 + 1 + 4 + 54 + 548 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3083580900 + 61873956 = 55530^2 + 7866^2 .

It is a super-2 number, since 2×31454548562 = 19787772502267961472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48366 + ... + 92898.

Almost surely, 23145454856 is an apocalyptic number.

3145454856 is a gapful number since it is divisible by the number (36) 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 3145454856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445606550).

3145454856 is an abundant number, since it is smaller than the sum of its proper divisors (5745758244).

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

3145454856 is a wasteful number, since it uses less digits than its factorization.

3145454856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44660 (or 44647 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 3145454856 is about 56084.3548237831. The cubic root of 3145454856 is about 1465.1918204100.

The spelling of 3145454856 in words is "three billion, one hundred forty-five million, four hundred fifty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 44533 70632 89066 133599 178132 267198 356264 400797 534396 801594 1068792 1202391 1603188 2404782 3206376 3607173 4809564 4854097 7214346 9619128 9708194 14428692 14562291 19416388 28857384 29124582 38832776 43686873 58249164 87373746 116498328 131060619 174747492 262121238 349494984 393181857 524242476 786363714 1048484952 1572727428 3145454856