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3754512864 = 25334878923
BaseRepresentation
bin1101111111001001…
…0101000111100000
3100200122210000102000
43133302111013200
530142123402424
61420320124000
7162016555434
oct33762250740
910618700360
103754512864
1116573630a3
12889466600
1347aacc15b
142788d09c4
1516e9333c9
hexdfc951e0

3754512864 has 96 divisors (see below), whose sum is σ = 10974378240. Its totient is φ = 1248794496.

The previous prime is 3754512863. The next prime is 3754512887. The reversal of 3754512864 is 4682154573.

3754512864 is a `hidden beast` number, since 3 + 7 + 54 + 512 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3754512863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 416307 + ... + 425229.

It is an arithmetic number, because the mean of its divisors is an integer number (114316440).

Almost surely, 23754512864 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 3754512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487189120).

3754512864 is an abundant number, since it is smaller than the sum of its proper divisors (7219865376).

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

3754512864 is a wasteful number, since it uses less digits than its factorization.

3754512864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9415 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3754512864 is about 61274.0798706925. The cubic root of 3754512864 is about 1554.2392261517.

The spelling of 3754512864 in words is "three billion, seven hundred fifty-four million, five hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 487 864 974 1461 1948 2922 3896 4383 5844 7792 8766 8923 11688 13149 15584 17532 17846 23376 26298 26769 35064 35692 46752 52596 53538 70128 71384 80307 105192 107076 140256 142768 160614 210384 214152 240921 285536 321228 420768 428304 481842 642456 856608 963684 1284912 1927368 2569824 3854736 4345501 7709472 8691002 13036503 17382004 26073006 34764008 39109509 52146012 69528016 78219018 104292024 117328527 139056032 156438036 208584048 234657054 312876072 417168096 469314108 625752144 938628216 1251504288 1877256432 3754512864