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3648965680 = 245172683063
BaseRepresentation
bin1101100101111110…
…1100110000110000
3100102022011122220001
43121133230300300
524433113400210
61402025555344
7156265460623
oct33137546060
910368148801
103648965680
111602822a18
1285a045b54
13461c957b9
14268897dba
1516553503a
hexd97ecc30

3648965680 has 40 divisors (see below), whose sum is σ = 8982898272. Its totient is φ = 1373727744.

The previous prime is 3648965669. The next prime is 3648965729. The reversal of 3648965680 is 865698463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 1340172 + ... + 1342891.

Almost surely, 23648965680 is an apocalyptic number.

It is an amenable number.

3648965680 is an abundant number, since it is smaller than the sum of its proper divisors (5333932592).

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

3648965680 is a wasteful number, since it uses less digits than its factorization.

3648965680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683093 (or 2683087 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The square root of 3648965680 is about 60406.6691682301. The cubic root of 3648965680 is about 1539.5362746120.

The spelling of 3648965680 in words is "three billion, six hundred forty-eight million, nine hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2683063 5366126 10732252 13415315 21464504 26830630 42929008 45612071 53661260 91224142 107322520 182448284 214645040 228060355 364896568 456120710 729793136 912241420 1824482840 3648965680