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7664804672 = 26726365053
BaseRepresentation
bin1110010001101101…
…11010001101000000
3201210011200102100112
413020312322031000
5111144142222142
63304323210452
7360640523210
oct71066721500
921704612315
107664804672
113283645218
12159ab16a28
13951c716a5
14529d72240
152ecd88382
hex1c8dba340

7664804672 has 56 divisors (see below), whose sum is σ = 17449044096. Its totient is φ = 3272375808.

The previous prime is 7664804669. The next prime is 7664804677. The reversal of 7664804672 is 2764084667.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 7664804672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7664804677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85298 + ... + 150350.

Almost surely, 27664804672 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 7664804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724522048).

7664804672 is an abundant number, since it is smaller than the sum of its proper divisors (9784239424).

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

7664804672 is a wasteful number, since it uses less digits than its factorization.

7664804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65335 (or 65325 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The square root of 7664804672 is about 87548.8701925959. The cubic root of 7664804672 is about 1971.6675884916.

The spelling of 7664804672 in words is "seven billion, six hundred sixty-four million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1841 2104 3682 4208 7364 8416 14728 16832 29456 58912 65053 117824 130106 260212 455371 520424 910742 1040848 1821484 2081696 3642968 4163392 7285936 14571872 17108939 29143744 34217878 68435756 119762573 136871512 239525146 273743024 479050292 547486048 958100584 1094972096 1916201168 3832402336 7664804672