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51048278043904 = 282932741248293
BaseRepresentation
bin10111001101101100110100…
…11110101010110100000000
320200202011112021020102120001
423212312122132222310000
523142333333134401104
6300323131041525344
713516054626653551
oct1346663236526400
9220664467212501
1051048278043904
11152a14a9147a19
1258855b9043854
132263aa7a953ab
14c86a6d7c2328
155d7d399cbaa4
hex2e6d9a7aad00

51048278043904 has 72 divisors (see below), whose sum is σ = 102282634582632. Its totient is φ = 25427643310080.

The previous prime is 51048278043883. The next prime is 51048278043947. The reversal of 51048278043904 is 40934087284015.

51048278043904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32398317570304 + 18649960473600 = 5691952^2 + 4318560^2 .

It is a super-3 number, since 3×510482780439043 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205472782 + ... + 205721074.

It is an arithmetic number, because the mean of its divisors is an integer number (1420592146981).

Almost surely, 251048278043904 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 51048278043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51141317291316).

51048278043904 is an abundant number, since it is smaller than the sum of its proper divisors (51234356538728).

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

51048278043904 is a wasteful number, since it uses less digits than its factorization.

51048278043904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251343 (or 251329 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 51048278043904 in words is "fifty-one trillion, forty-eight billion, two hundred seventy-eight million, forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 293 586 1172 2344 2741 4688 5482 9376 10964 18752 21928 37504 43856 75008 87712 175424 248293 350848 496586 701696 803113 993172 1606226 1986344 3212452 3972688 6424904 7945376 12849808 15890752 25699616 31781504 51399232 63563008 72749849 102798464 145499698 205596928 290999396 581998792 680571113 1163997584 1361142226 2327995168 2722284452 4655990336 5444568904 9311980672 10889137808 18623961344 21778275616 43556551232 87113102464 174226204928 199407336109 398814672218 797629344436 1595258688872 3190517377744 6381034755488 12762069510976 25524139021952 51048278043904