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42588869106 = 23723073891213
BaseRepresentation
bin100111101010011111…
…101001000111110010
311001221002110201021110
4213222133221013302
51144210222302411
631322015134150
73035251262100
oct475237510762
9131832421243
1042588869106
1117075340793
128306b14356
134029528c84
1420c0352c70
151193e192a6
hex9ea7e91f2

42588869106 has 96 divisors (see below), whose sum is σ = 99744765120. Its totient is φ = 12087460224.

The previous prime is 42588869093. The next prime is 42588869119. The reversal of 42588869106 is 60196888524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42588869093) and next prime (42588869119).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35109756 + ... + 35110968.

It is an arithmetic number, because the mean of its divisors is an integer number (1039007970).

Almost surely, 242588869106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42588869106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49872382560).

42588869106 is an abundant number, since it is smaller than the sum of its proper divisors (57155896014).

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

42588869106 is a wasteful number, since it uses less digits than its factorization.

42588869106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 42588869106 in words is "forty-two billion, five hundred eighty-eight million, eight hundred sixty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 307 389 614 778 921 1167 1213 1842 2149 2334 2426 2723 3639 4298 5446 6447 7278 8169 8491 12894 15043 16338 16982 19061 25473 30086 38122 45129 50946 57183 59437 90258 114366 118874 119423 178311 238846 356622 358269 372391 471857 716538 744782 835961 943714 1117173 1415571 1671922 2234346 2507883 2606737 2831142 3302999 5015766 5213474 5851727 6605998 7820211 9908997 11703454 15640422 17555181 18247159 19817994 23120993 35110362 36494318 46241986 54741477 69362979 109482954 138725958 144860099 289720198 434580297 869160594 1014020693 2028041386 3042062079 6084124158 7098144851 14196289702 21294434553 42588869106