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148268936157984 = 25321279140248823
BaseRepresentation
bin100001101101100110001101…
…010001010101101100100000
3201102222101001002110021221100
4201231212031101111230200
5123413214240124023414
61243201450422154400
743142035312652625
oct4155461521255440
9642871032407840
10148268936157984
1143274559109474
121476761a882a00
13649691553a545
14288837d25834c
151221c368e4609
hex86d98d455b20

148268936157984 has 72 divisors (see below), whose sum is σ = 421672761461952. Its totient is φ = 49419113604480.

The previous prime is 148268936157893. The next prime is 148268936158027. The reversal of 148268936157984 is 489751639862841.

148268936157984 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 6 + 8 + 9 + 36 + 1 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16440604 + ... + 23808219.

It is an arithmetic number, because the mean of its divisors is an integer number (5856566131416).

Almost surely, 2148268936157984 is an apocalyptic number.

It is an amenable number.

148268936157984 is an abundant number, since it is smaller than the sum of its proper divisors (273403825303968).

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

148268936157984 is a wasteful number, since it uses less digits than its factorization.

148268936157984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261630 (or 40261619 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 148268936157984 in words is "one hundred forty-eight trillion, two hundred sixty-eight billion, nine hundred thirty-six million, one hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12791 25582 38373 51164 76746 102328 115119 153492 204656 230238 306984 409312 460476 613968 920952 1227936 1841904 3683808 40248823 80497646 120746469 160995292 241492938 321990584 362239407 482985876 643981168 724478814 965971752 1287962336 1448957628 1931943504 2897915256 3863887008 5795830512 11591661024 514822694993 1029645389986 1544468084979 2059290779972 3088936169958 4118581559944 4633404254937 6177872339916 8237163119888 9266808509874 12355744679832 16474326239776 18533617019748 24711489359664 37067234039496 49422978719328 74134468078992 148268936157984