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63420541344 = 2532220210213
BaseRepresentation
bin111011000100001010…
…001010100110100000
320001200212221022100200
4323010022022212200
52014341124310334
645045054145200
74403422464306
oct730412124640
9201625838320
1063420541344
1124995273436
121035b4b2200
135c992c5954
1430d8c8a276
1519b2bb6799
hexec428a9a0

63420541344 has 36 divisors (see below), whose sum is σ = 180352165266. Its totient is φ = 21140180352.

The previous prime is 63420541321. The next prime is 63420541357. The reversal of 63420541344 is 44314502436.

63420541344 is a `hidden beast` number, since 6 + 34 + 205 + 413 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62210336400 + 1210204944 = 249420^2 + 34788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63420541299 and 63420541308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110104819 + ... + 110105394.

Almost surely, 263420541344 is an apocalyptic number.

It is an amenable number.

63420541344 is an abundant number, since it is smaller than the sum of its proper divisors (116931623922).

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

63420541344 is a wasteful number, since it uses less digits than its factorization.

63420541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220210229 (or 220210218 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 63420541344 in words is "sixty-three billion, four hundred twenty million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 220210213 440420426 660630639 880840852 1321261278 1761681704 1981891917 2642522556 3523363408 3963783834 5285045112 7046726816 7927567668 10570090224 15855135336 21140180448 31710270672 63420541344