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82287415936 = 2711397147211
BaseRepresentation
bin100110010100010110…
…1100101001010000000
321212101202021211202201
41030220231211022000
52322011034302221
6101445144522544
75642105331505
oct1145055451200
9255352254681
1082287415936
1131997112580
1213b45a80454
1379b4cc217b
143da888d4ac
152219206891
hex1328b65280

82287415936 has 64 divisors (see below), whose sum is σ = 179286550560. Its totient is φ = 37308902400.

The previous prime is 82287415921. The next prime is 82287415993. The reversal of 82287415936 is 63951478228.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485371 + ... + 632581.

Almost surely, 282287415936 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 82287415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89643275280).

82287415936 is an abundant number, since it is smaller than the sum of its proper divisors (96999134624).

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

82287415936 is a wasteful number, since it uses less digits than its factorization.

82287415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147633 (or 147621 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 82287415936 in words is "eighty-two billion, two hundred eighty-seven million, four hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 397 704 794 1408 1588 3176 4367 6352 8734 12704 17468 25408 34936 50816 69872 139744 147211 279488 294422 558976 588844 1177688 1619321 2355376 3238642 4710752 6477284 9421504 12954568 18843008 25909136 51818272 58442767 103636544 116885534 207273088 233771068 467542136 642870437 935084272 1285740874 1870168544 2571481748 3740337088 5142963496 7480674176 10285926992 20571853984 41143707968 82287415936