Search a number
-
+
49660369920 = 2103357193773
BaseRepresentation
bin101110001111111111…
…010001110000000000
311202011220202011202000
4232033333101300000
51303201023314140
634451430024000
73405426115410
oct561777216000
9152156664660
1049660369920
111a073a90a37
12975b1a8000
1348b55a7895
1425915a2640
151459b58a30
hexb8ffd1c00

49660369920 has 1408 divisors, whose sum is σ = 221036697600. Its totient is φ = 10319560704.

The previous prime is 49660369919. The next prime is 49660369943. The reversal of 49660369920 is 2996306694.

49660369920 is a `hidden beast` number, since 4 + 9 + 6 + 603 + 6 + 9 + 9 + 20 = 666.

49660369920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680279004 + ... + 680279076.

Almost surely, 249660369920 is an apocalyptic number.

49660369920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49660369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110518348800).

49660369920 is an abundant number, since it is smaller than the sum of its proper divisors (171376327680).

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

49660369920 is a wasteful number, since it uses less digits than its factorization.

49660369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 49660369920 in words is "forty-nine billion, six hundred sixty million, three hundred sixty-nine thousand, nine hundred twenty".