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4054012864 = 261119329837
BaseRepresentation
bin1111000110100011…
…0101001111000000
3101110112100012011121
43301220311033000
531300311402424
61510135322024
7202314353326
oct36150651700
911415305147
104054012864
1117a0425960
12951820314
134c7b834a5
142a65b3d16
1518ad93ee4
hexf1a353c0

4054012864 has 56 divisors (see below), whose sum is σ = 8821783728. Its totient is φ = 1833123840.

The previous prime is 4054012829. The next prime is 4054012873. The reversal of 4054012864 is 4682104504.

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, 120954 + ... + 150790.

Almost surely, 24054012864 is an apocalyptic number.

4054012864 is a gapful number since it is divisible by the number (44) 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 4054012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410891864).

4054012864 is an abundant number, since it is smaller than the sum of its proper divisors (4767770864).

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

4054012864 is a wasteful number, since it uses less digits than its factorization.

4054012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30053 (or 30043 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4054012864 is about 63671.1305381018. The cubic root of 4054012864 is about 1594.5141373159.

The spelling of 4054012864 in words is "four billion, fifty-four million, twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 193 352 386 704 772 1544 2123 3088 4246 6176 8492 12352 16984 29837 33968 59674 67936 119348 135872 238696 328207 477392 656414 954784 1312828 1909568 2625656 5251312 5758541 10502624 11517082 21005248 23034164 46068328 63343951 92136656 126687902 184273312 253375804 368546624 506751608 1013503216 2027006432 4054012864