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642744447246 = 233111082061359
BaseRepresentation
bin10010101101001101000…
…11011111000100001110
32021110000222001221212000
421112212203133010032
541012320034302441
61211134524053130
764302543441516
oct11264643370416
92243028057760
10642744447246
1122864a536460
12a46999941a6
13487c2489345
1423175134846
1511abc7692b6
hex95a68df10e

642744447246 has 32 divisors (see below), whose sum is σ = 1558168358400. Its totient is φ = 194771044440.

The previous prime is 642744447217. The next prime is 642744447251.

642744447246 is a `hidden beast` number, since 64 + 2 + 74 + 4 + 4 + 472 + 46 = 666.

642744447246 is nontrivially palindromic in base 10.

642744447246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 642744447192 and 642744447201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541030086 + ... + 541031273.

It is an arithmetic number, because the mean of its divisors is an integer number (48692761200).

Almost surely, 2642744447246 is an apocalyptic number.

642744447246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

642744447246 is an abundant number, since it is smaller than the sum of its proper divisors (915423911154).

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

642744447246 is a wasteful number, since it uses less digits than its factorization.

642744447246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082061381 (or 1082061375 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 54.

The spelling of 642744447246 in words is "six hundred forty-two billion, seven hundred forty-four million, four hundred forty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1082061359 2164122718 3246184077 6492368154 9738552231 11902674949 19477104462 23805349898 29215656693 35708024847 58431313386 71416049694 107124074541 214248149082 321372223623 642744447246