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642989381056 = 261117154334819
BaseRepresentation
bin10010101101101010010…
…01110101010111000000
32021110200000221212212121
421112311021311113000
541013320240143211
61211215113534024
764311606363331
oct11266511652700
92243600855777
10642989381056
112287658198a0
12a4747a14314
1348831146aa9
1423199892288
1511ad3eec271
hex95b52755c0

642989381056 has 112 divisors (see below), whose sum is σ = 1474801378560. Its totient is φ = 274889502720.

The previous prime is 642989381053. The next prime is 642989381059. The reversal of 642989381056 is 650183989246.

It is an interprime number because it is at equal distance from previous prime (642989381053) and next prime (642989381059).

It is a junction number, because it is equal to n+sod(n) for n = 642989380985 and 642989381003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642989381053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18449215 + ... + 18484033.

Almost surely, 2642989381056 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 642989381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737400689280).

642989381056 is an abundant number, since it is smaller than the sum of its proper divisors (831811997504).

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

642989381056 is a wasteful number, since it uses less digits than its factorization.

642989381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36402 (or 36392 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 642989381056 in words is "six hundred forty-two billion, nine hundred eighty-nine million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 1543 2992 3086 5984 6172 11968 12344 16973 24688 26231 33946 34819 49376 52462 67892 69638 98752 104924 135784 139276 209848 271568 278552 288541 383009 419696 543136 557104 577082 591923 766018 839392 1086272 1114208 1154164 1183846 1532036 1678784 2228416 2308328 2367692 3064072 4616656 4735384 6128144 6511153 9233312 9470768 12256288 13022306 18466624 18941536 24512576 26044612 37883072 52089224 53725717 104178448 107451434 208356896 214902868 416713792 429805736 590982887 859611472 913337189 1181965774 1719222944 1826674378 2363931548 3438445888 3653348756 4727863096 7306697512 9455726192 10046709079 14613395024 18911452384 20093418158 29226790048 37822904768 40186836316 58453580096 80373672632 160747345264 321494690528 642989381056