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87864141804 = 223197131317341
BaseRepresentation
bin101000111010100011…
…1000110011111101100
322101210101212212111020
41101311013012133230
52414421210014204
6104210401254140
76230232611505
oct1216507063754
9271711785436
1087864141804
113429902122a
1215041634350
13839348ab6a
144377399bac
152443acebd9
hex14751c67ec

87864141804 has 96 divisors (see below), whose sum is σ = 219558044160. Its totient is φ = 27266803200.

The previous prime is 87864141803. The next prime is 87864141811. The reversal of 87864141804 is 40814146878.

It is not an unprimeable number, because it can be changed into a prime (87864141803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5058174 + ... + 5075514.

It is an arithmetic number, because the mean of its divisors is an integer number (2287062960).

Almost surely, 287864141804 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 87864141804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109779022080).

87864141804 is an abundant number, since it is smaller than the sum of its proper divisors (131693902356).

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

87864141804 is a wasteful number, since it uses less digits than its factorization.

87864141804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751 (or 17749 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 87864141804 in words is "eighty-seven billion, eight hundred sixty-four million, one hundred forty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 313 426 626 852 939 1252 1349 1878 2698 3756 4047 5396 5947 8094 11894 16188 17341 17841 22223 23788 34682 35682 44446 52023 66669 69364 71364 88892 104046 133338 208092 266676 329479 422237 658958 844474 988437 1231211 1266711 1317916 1688948 1976874 2462422 2533422 3693633 3953748 4924844 5066844 5427733 7387266 10855466 14774532 16283199 21710932 23393009 32566398 46786018 65132796 70179027 93572036 103126927 140358054 206253854 280716108 309380781 385369043 412507708 618761562 770738086 1156107129 1237523124 1541476172 2312214258 4624428516 7322011817 14644023634 21966035451 29288047268 43932070902 87864141804