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3557489964 = 2237212747639
BaseRepresentation
bin1101010000001010…
…1111110100101100
3100011221001012210120
43110002233310230
524241204134324
61345001204540
7154105110600
oct32402576454
910157035716
103557489964
111566123956
12833490750
13449047c62
1425a685500
1515c4b6179
hexd40afd2c

3557489964 has 72 divisors (see below), whose sum is σ = 9732280320. Its totient is φ = 1008401184.

The previous prime is 3557489959. The next prime is 3557489983. The reversal of 3557489964 is 4699847553.

3557489964 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 (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3557489898 and 3557489907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50857 + ... + 98495.

It is an arithmetic number, because the mean of its divisors is an integer number (135170560).

Almost surely, 23557489964 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 3557489964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866140160).

3557489964 is an abundant number, since it is smaller than the sum of its proper divisors (6174790356).

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

3557489964 is a wasteful number, since it uses less digits than its factorization.

3557489964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47787 (or 47778 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 60.

The square root of 3557489964 is about 59644.6977023105. The cubic root of 3557489964 is about 1526.5623996685.

It can be divided in two parts, 3557 and 489964, that added together give a triangular number (493521 = T993).

The spelling of 3557489964 in words is "three billion, five hundred fifty-seven million, four hundred eighty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 381 508 588 762 889 1524 1778 2667 3556 5334 6223 10668 12446 18669 24892 37338 47639 74676 95278 142917 190556 285834 333473 571668 666946 1000419 1333892 2000838 2334311 4001676 4668622 6050153 7002933 9337244 12100306 14005866 18150459 24200612 28011732 36300918 42351071 72601836 84702142 127053213 169404284 254106426 296457497 508212852 592914994 889372491 1185829988 1778744982 3557489964