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48135898890846 = 23213973119679933
BaseRepresentation
bin10101111000111100000110…
…01001111000001001011110
320022102202011120001100210100
422330132003021320021132
522302124310104001341
6250213154321121530
713065463306423644
oct1274360311701136
9208382146040710
1048135898890846
1114379358029438
1254950871892a6
1320b22711ba8b0
14bc5b0b833194
155871d280a3b6
hex2bc78327825e

48135898890846 has 96 divisors (see below), whose sum is σ = 113511554432640. Its totient is φ = 14653633370112.

The previous prime is 48135898890811. The next prime is 48135898890889. The reversal of 48135898890846 is 64809889853184.

48135898890846 is a `hidden beast` number, since 481 + 3 + 5 + 8 + 9 + 8 + 8 + 90 + 8 + 46 = 666.

48135898890846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 70455096 + ... + 71135028.

It is an arithmetic number, because the mean of its divisors is an integer number (1182412025340).

Almost surely, 248135898890846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48135898890846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56755777216320).

48135898890846 is an abundant number, since it is smaller than the sum of its proper divisors (65375655541794).

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

48135898890846 is a wasteful number, since it uses less digits than its factorization.

48135898890846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683170 (or 683167 counting only the distinct ones).

The product of its (nonzero) digits is 3822059520, while the sum is 81.

The spelling of 48135898890846 in words is "forty-eight trillion, one hundred thirty-five billion, eight hundred ninety-eight million, eight hundred ninety thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3119 3783 6238 7566 9357 11349 18714 22698 28071 40547 56142 81094 121641 243282 302543 364923 605086 679933 729846 907629 1359866 1815258 2039799 2722887 3933059 4079598 5445774 6119397 7866118 8839129 11799177 12238794 17678258 23598354 26517387 35397531 53034774 65953501 70795062 79552161 131907002 159104322 197860503 395721006 593581509 857395513 1187163018 1714791026 2120711027 2572186539 4241422054 5144373078 6362133081 7716559617 12724266162 15433119234 19086399243 27569243351 38172798486 55138486702 82707730053 165415460106 205708969619 248123190159 411417939238 496246380318 617126908857 1234253817714 1851380726571 2674216605047 3702761453142 5348433210094 8022649815141 16045299630282 24067949445423 48135898890846