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46362460128 = 2532320997491
BaseRepresentation
bin101011001011011010…
…101111111111100000
311102200002010222222220
4223023122233333200
51224422242211003
633144300231040
73230622260145
oct531332577740
9142602128886
1046362460128
1118731444556
128b9a83b480
1344ab277a7a
14235b5ac3cc
15131536a353
hexacb6affe0

46362460128 has 48 divisors (see below), whose sum is σ = 126992831616. Its totient is φ = 14782232960.

The previous prime is 46362460117. The next prime is 46362460201. The reversal of 46362460128 is 82106426364.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46362460128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10496538 + ... + 10500953.

It is an arithmetic number, because the mean of its divisors is an integer number (2645683992).

Almost surely, 246362460128 is an apocalyptic number.

46362460128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46362460128 is an abundant number, since it is smaller than the sum of its proper divisors (80630371488).

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

46362460128 is a wasteful number, since it uses less digits than its factorization.

46362460128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20997527 (or 20997519 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 46362460128 in words is "forty-six billion, three hundred sixty-two million, four hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 20997491 41994982 62992473 83989964 125984946 167979928 251969892 335959856 482942293 503939784 671919712 965884586 1007879568 1448826879 1931769172 2015759136 2897653758 3863538344 5795307516 7727076688 11590615032 15454153376 23181230064 46362460128