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148691938516695 = 32571276633697531
BaseRepresentation
bin100001110011110000001010…
…001011010001111011010111
3201111110210212212000120001200
4201303300022023101323113
5123442132042230013240
61244124044502523543
743214431564456140
oct4163601213217327
9644423785016050
10148691938516695
11434179959a1382
12148155b14365b3
1364c7788582512
1428a0a2a360ac7
15122cc42916930
hex873c0a2d1ed7

148691938516695 has 48 divisors (see below), whose sum is σ = 294554036554752. Its totient is φ = 67972906779840.

The previous prime is 148691938516679. The next prime is 148691938516699. The reversal of 148691938516695 is 596615839196841.

148691938516695 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 9 + 1 + 9 + 3 + 8 + 516 + 6 + 95 = 666.

148691938516695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 148691938516695 - 24 = 148691938516679 is a prime.

It is a super-3 number, since 3×1486919385166953 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148691938516699) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38365080 + ... + 42062610.

It is an arithmetic number, because the mean of its divisors is an integer number (6136542428224).

Almost surely, 2148691938516695 is an apocalyptic number.

148691938516695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148691938516695 is a deficient number, since it is larger than the sum of its proper divisors (145862098038057).

148691938516695 is a wasteful number, since it uses less digits than its factorization.

148691938516695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825212 (or 3825209 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 81.

The spelling of 148691938516695 in words is "one hundred forty-eight trillion, six hundred ninety-one billion, nine hundred thirty-eight million, five hundred sixteen thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 127663 382989 638315 893641 1148967 1914945 2680923 3697531 4468205 5744835 8042769 11092593 13404615 18487655 25882717 33277779 40213845 55462965 77648151 129413585 166388895 232944453 388240755 1164722265 472037900053 1416113700159 2360189500265 3304265300371 4248341100477 7080568500795 9912795901113 16521326501855 21241705502385 29738387703339 49563979505565 148691938516695