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4061464064 = 2971278923
BaseRepresentation
bin1111001000010101…
…0000011000000000
3101111001100202021222
43302011100120000
531304213322224
61511003134212
7202434606050
oct36205203000
911431322258
104061464064
1117a4655079
12954214368
134c9591b98
142a7593560
1518b866b5e
hexf2150600

4061464064 has 80 divisors (see below), whose sum is σ = 9348354048. Its totient is φ = 1726728192.

The previous prime is 4061464013. The next prime is 4061464081. The reversal of 4061464064 is 4604641604.

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, 450707 + ... + 459629.

Almost surely, 24061464064 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 4061464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674177024).

4061464064 is an abundant number, since it is smaller than the sum of its proper divisors (5286889984).

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

4061464064 is an equidigital number, since it uses as much as digits as its factorization.

4061464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9075 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4061464064 is about 63729.6168511941. The cubic root of 4061464064 is about 1595.4904351650.

The spelling of 4061464064 in words is "four billion, sixty-one million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 448 508 512 889 896 1016 1778 1792 2032 3556 3584 4064 7112 8128 8923 14224 16256 17846 28448 32512 35692 56896 62461 65024 71384 113792 124922 142768 227584 249844 285536 455168 499688 571072 999376 1133221 1142144 1998752 2266442 2284288 3997504 4532884 4568576 7932547 7995008 9065768 15865094 15990016 18131536 31730188 31980032 36263072 63460376 72526144 126920752 145052288 253841504 290104576 507683008 580209152 1015366016 2030732032 4061464064