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4023641216 = 27715728603
BaseRepresentation
bin1110111111010011…
…1110010010000000
3101101102012011002202
43233310332102000
531220023004331
61503132332332
7201465246260
oct35764762200
911342164082
104023641216
111785271221
129436140a8
134c17ab2ba
142a25497a0
15188394ecb
hexefd3e480

4023641216 has 64 divisors (see below), whose sum is σ = 9219641280. Its totient is φ = 1713374208.

The previous prime is 4023641179. The next prime is 4023641291. The reversal of 4023641216 is 6121463204.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126371 + ... + 154973.

It is an arithmetic number, because the mean of its divisors is an integer number (144056895).

Almost surely, 24023641216 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 4023641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609820640).

4023641216 is an abundant number, since it is smaller than the sum of its proper divisors (5196000064).

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

4023641216 is a wasteful number, since it uses less digits than its factorization.

4023641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28781 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4023641216 is about 63432.1780802141. The cubic root of 4023641216 is about 1590.5222518696.

The spelling of 4023641216 in words is "four billion, twenty-three million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 314 448 628 896 1099 1256 2198 2512 4396 5024 8792 10048 17584 20096 28603 35168 57206 70336 114412 140672 200221 228824 400442 457648 800884 915296 1601768 1830592 3203536 3661184 4490671 6407072 8981342 12814144 17962684 25628288 31434697 35925368 62869394 71850736 125738788 143701472 251477576 287402944 502955152 574805888 1005910304 2011820608 4023641216