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48092102432 = 2511228144201
BaseRepresentation
bin101100110010100000…
…110011111100100000
311121010121202221011222
4230302200303330200
51241443034234212
634032044354212
73321524061113
oct546240637440
9147117687158
1048092102432
1119439813400
1293a1b45968
1346c570255a
1424831ac57a
1513b7126c72
hexb32833f20

48092102432 has 72 divisors (see below), whose sum is σ = 104443933356. Its totient is φ = 21781760000.

The previous prime is 48092102423. The next prime is 48092102447. The reversal of 48092102432 is 23420129084.

It can be written as a sum of positive squares in 2 ways, for example, as 47647904656 + 444197776 = 218284^2 + 21076^2 .

It is a super-3 number, since 3×480921024323 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48092102392 and 48092102401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065932 + ... + 1110132.

Almost surely, 248092102432 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 48092102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52221966678).

48092102432 is an abundant number, since it is smaller than the sum of its proper divisors (56351830924).

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

48092102432 is a wasteful number, since it uses less digits than its factorization.

48092102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44514 (or 44495 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 48092102432 in words is "forty-eight billion, ninety-two million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 281 352 484 562 968 1124 1936 2248 3091 3872 4496 6182 8992 12364 24728 34001 44201 49456 68002 88402 98912 136004 176804 272008 353608 486211 544016 707216 972422 1088032 1414432 1944844 3889688 5348321 7779376 10696642 12420481 15558752 21393284 24840962 42786568 49681924 85573136 99363848 136625291 171146272 198727696 273250582 397455392 546501164 1093002328 1502878201 2186004656 3005756402 4372009312 6011512804 12023025608 24046051216 48092102432