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103687381464 = 23353293278209
BaseRepresentation
bin110000010010000111…
…1111110000111011000
3100220122011002201200120
41200210033332013120
53144322432201324
6115344444233240
710330320125532
oct1404417760730
9326564081616
10103687381464
113aa789073a7
121811883b820
139a15735974
145038a78852
152a6cd0c179
hex18243fe1d8

103687381464 has 64 divisors (see below), whose sum is σ = 265011717600. Its totient is φ = 33794482176.

The previous prime is 103687381439. The next prime is 103687381507. The reversal of 103687381464 is 464183786301.

It is a happy number.

It is a super-2 number, since 2×1036873814642 (a number of 23 digits) contains 22 as substring.

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, 233592 + ... + 511800.

Almost surely, 2103687381464 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 103687381464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132505858800).

103687381464 is an abundant number, since it is smaller than the sum of its proper divisors (161324336136).

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

103687381464 is a wasteful number, since it uses less digits than its factorization.

103687381464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278564 (or 278560 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 103687381464 in words is "one hundred three billion, six hundred eighty-seven million, three hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 293 318 424 586 636 879 1172 1272 1758 2344 3516 7032 15529 31058 46587 62116 93174 124232 186348 278209 372696 556418 834627 1112836 1669254 2225672 3338508 6677016 14745077 29490154 44235231 58980308 81515237 88470462 117960616 163030474 176940924 244545711 326060948 353881848 489091422 652121896 978182844 1956365688 4320307561 8640615122 12960922683 17281230244 25921845366 34562460488 51843690732 103687381464