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48378849152 = 27172347131157
BaseRepresentation
bin101101000011100110…
…101010011110000000
311121212121100011201212
4231003212222132000
51243034441133102
634120330345252
73331605301304
oct550346523600
9147777304655
1048378849152
1119576665467
129461b8b228
13473cc3ca7a
1424ad2d1d04
1513d23b8c52
hexb439aa780

48378849152 has 256 divisors, whose sum is σ = 110279854080. Its totient is φ = 21015920640.

The previous prime is 48378849137. The next prime is 48378849173. The reversal of 48378849152 is 25194887384.

It is a super-2 number, since 2×483788491522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48378849091 and 48378849100.

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, 308145458 + ... + 308145614.

It is an arithmetic number, because the mean of its divisors is an integer number (430780680).

Almost surely, 248378849152 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 48378849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55139927040).

48378849152 is an abundant number, since it is smaller than the sum of its proper divisors (61901004928).

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

48378849152 is a wasteful number, since it uses less digits than its factorization.

48378849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 59.

The spelling of 48378849152 in words is "forty-eight billion, three hundred seventy-eight million, eight hundred forty-nine thousand, one hundred fifty-two".