Search a number
-
+
127374839904 = 25313269379417
BaseRepresentation
bin111011010100000100…
…0011101000001100000
3110011202222020021222010
41312220020131001200
54041330424334104
6134303140512520
712126316163244
oct1665010350140
9404688207863
10127374839904
114a02385a534
12208296ab740
13c01c062870
146244998424
1534a7663489
hex1da821d060

127374839904 has 96 divisors (see below), whose sum is σ = 361418410080. Its totient is φ = 39046459392.

The previous prime is 127374839899. The next prime is 127374839939. The reversal of 127374839904 is 409938473721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 146004 + ... + 525420.

It is an arithmetic number, because the mean of its divisors is an integer number (3764775105).

Almost surely, 2127374839904 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 127374839904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180709205040).

127374839904 is an abundant number, since it is smaller than the sum of its proper divisors (234043570176).

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

127374839904 is a wasteful number, since it uses less digits than its factorization.

127374839904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379712 (or 379704 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 127374839904 in words is "one hundred twenty-seven billion, three hundred seventy-four million, eight hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 269 312 416 538 624 807 1076 1248 1614 2152 3228 3497 4304 6456 6994 8608 10491 12912 13988 20982 25824 27976 41964 55952 83928 111904 167856 335712 379417 758834 1138251 1517668 2276502 3035336 4553004 4932421 6070672 9106008 9864842 12141344 14797263 18212016 19729684 29594526 36424032 39459368 59189052 78918736 102063173 118378104 157837472 204126346 236756208 306189519 408252692 473512416 612379038 816505384 1224758076 1326821249 1633010768 2449516152 2653642498 3266021536 3980463747 4899032304 5307284996 7960927494 9798064608 10614569992 15921854988 21229139984 31843709976 42458279968 63687419952 127374839904