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148805508104 = 231159137209201
BaseRepresentation
bin1000101010010101111…
…1111101110000001000
3112020002111211001000222
42022211133331300020
54414223202224404
6152205454245212
713515352643411
oct2124537756010
9466074731028
10148805508104
1158120914770
1224a0a7b6808
1311055c66116
1472b8c96808
153d0dcd0dbe
hex22a57fdc08

148805508104 has 64 divisors (see below), whose sum is σ = 311794660800. Its totient is φ = 66006784000.

The previous prime is 148805508097. The next prime is 148805508107. The reversal of 148805508104 is 401805508841.

148805508104 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 (44).

It is not an unprimeable number, because it can be changed into a prime (148805508107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606704 + ... + 815904.

It is an arithmetic number, because the mean of its divisors is an integer number (4871791575).

Almost surely, 2148805508104 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 148805508104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155897330400).

148805508104 is an abundant number, since it is smaller than the sum of its proper divisors (162989152696).

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

148805508104 is a wasteful number, since it uses less digits than its factorization.

148805508104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209414 (or 209410 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 44.

The spelling of 148805508104 in words is "one hundred forty-eight billion, eight hundred five million, five hundred eight thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 59 88 118 137 236 274 472 548 649 1096 1298 1507 2596 3014 5192 6028 8083 12056 16166 32332 64664 88913 177826 209201 355652 418402 711304 836804 1673608 2301211 4602422 9204844 12342859 18409688 24685718 28660537 49371436 57321074 98742872 114642148 135771449 229284296 271542898 315265907 543085796 630531814 1086171592 1261063628 1690971683 2522127256 3381943366 6763886732 13527773464 18600688513 37201377026 74402754052 148805508104