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427881666188724 = 2231137123770823653
BaseRepresentation
bin110000101001001111111011…
…0101110000001010110110100
32002010000002101000011120101220
41201102133312232001112310
5422040403123021014344
64114010042424550340
7156061300366122246
oct14122376656012664
92063002330146356
10427881666188724
11114377660791020
123bba64003223b0
131549a0b64aa167
147793824202096
1534702b6399c19
hex18527f6b815b4

427881666188724 has 96 divisors (see below), whose sum is σ = 1119494200868736. Its totient is φ = 126054768775680.

The previous prime is 427881666188693. The next prime is 427881666188747.

427881666188724 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 427881666188724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29370319 + ... + 41453334.

It is an arithmetic number, because the mean of its divisors is an integer number (11661397925716).

Almost surely, 2427881666188724 is an apocalyptic number.

427881666188724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427881666188724 is an abundant number, since it is smaller than the sum of its proper divisors (691612534680012).

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

427881666188724 is a wasteful number, since it uses less digits than its factorization.

427881666188724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70824945 (or 70824943 counting only the distinct ones).

The product of its digits is 2774532096, while the sum is 78.

The spelling of 427881666188724 in words is "four hundred twenty-seven trillion, eight hundred eighty-one billion, six hundred sixty-six million, one hundred eighty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1237 1628 2442 2474 3711 4884 4948 7422 13607 14844 27214 40821 45769 54428 81642 91538 137307 163284 183076 274614 503459 549228 1006918 1510377 2013836 3020754 6041508 70823653 141647306 212470959 283294612 424941918 779060183 849883836 1558120366 2337180549 2620475161 3116240732 4674361098 5240950322 7861425483 9348722196 10481900644 15722850966 28825226771 31445701932 57650453542 86475680313 87608858761 115300907084 172951360626 175217717522 262826576283 345902721252 350435435044 525653152566 963697446371 1051306305132 1927394892742 2891092339113 3241527774157 3854789785484 5782184678226 6483055548314 9724583322471 11564369356452 12966111096628 19449166644942 35656805515727 38898333289884 71313611031454 106970416547181 142627222062908 213940833094362 427881666188724