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127043425104 = 24397251108709
BaseRepresentation
bin111011001010001100…
…0001101001101010000
3110010220212121200022220
41312110120031031100
54040141104100404
6134210221301040
712115153203321
oct1662430151520
9403825550286
10127043425104
1149973779702
1220756704780
13bc984b5b2b
146212968448
1534884eb4d9
hex1d9460d350

127043425104 has 80 divisors (see below), whose sum is σ = 332903067840. Its totient is φ = 41743872000.

The previous prime is 127043425099. The next prime is 127043425129. The reversal of 127043425104 is 401524340721.

It is a super-2 number, since 2×1270434251042 (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, 1114302 + ... + 1223010.

It is an arithmetic number, because the mean of its divisors is an integer number (4161288348).

Almost surely, 2127043425104 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 127043425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166451533920).

127043425104 is an abundant number, since it is smaller than the sum of its proper divisors (205859642736).

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

127043425104 is a wasteful number, since it uses less digits than its factorization.

127043425104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109068 (or 109062 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 127043425104 its reverse (401524340721), we get a palindrome (528567765825).

The spelling of 127043425104 in words is "one hundred twenty-seven billion, forty-three million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 251 291 388 502 582 753 776 1004 1164 1506 1552 2008 2328 3012 4016 4656 6024 12048 24347 48694 73041 97388 108709 146082 194776 217418 292164 326127 389552 434836 584328 652254 869672 1168656 1304508 1739344 2609016 5218032 10544773 21089546 27285959 31634319 42179092 54571918 63268638 81857877 84358184 109143836 126537276 163715754 168716368 218287672 253074552 327431508 436575344 506149104 654863016 1309726032 2646738023 5293476046 7940214069 10586952092 15880428138 21173904184 31760856276 42347808368 63521712552 127043425104