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3994201272 = 2331780912101
BaseRepresentation
bin1110111000010010…
…1010110010111000
3101022100210110002110
43232010222302320
531140003420042
61500201332320
7200660102445
oct35604526270
911270713073
103994201272
11176a693596
129357970a0
134b8671209
1429c6849cc
151859cc09c
hexee12acb8

3994201272 has 64 divisors (see below), whose sum is σ = 10586829600. Its totient is φ = 1251430400.

The previous prime is 3994201241. The next prime is 3994201273. The reversal of 3994201272 is 2721024993.

3994201272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3994201272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994201273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324022 + ... + 336122.

Almost surely, 23994201272 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 3994201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293414800).

3994201272 is an abundant number, since it is smaller than the sum of its proper divisors (6592628328).

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

3994201272 is a wasteful number, since it uses less digits than its factorization.

3994201272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3994201272 is about 63199.6936068522. The cubic root of 3994201272 is about 1586.6336054202.

The spelling of 3994201272 in words is "three billion, nine hundred ninety-four million, two hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 809 1618 2427 3236 4854 6472 9708 12101 13753 19416 24202 27506 36303 41259 48404 55012 72606 82518 96808 110024 145212 165036 205717 290424 330072 411434 617151 822868 1234302 1645736 2468604 4937208 9789709 19579418 29369127 39158836 58738254 78317672 117476508 166425053 234953016 332850106 499275159 665700212 998550318 1331400424 1997100636 3994201272