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46423015111152 = 24322797115259939
BaseRepresentation
bin10101000111000101100110…
…10100110011100111110000
320002100222220202000201101200
422203202303110303213300
522041043313332024102
6242422234433131200
712530644406503311
oct1243426324634760
9202328822021350
1046423015111152
111387898786a539
1252591119b9b00
131cb98964b5b54
14b66c58d70608
15557880d9551c
hex2a38b35339f0

46423015111152 has 60 divisors (see below), whose sum is σ = 129966416784360. Its totient is φ = 15468805759104.

The previous prime is 46423015111139. The next prime is 46423015111153. The reversal of 46423015111152 is 25111151032464.

46423015111152 is a `hidden beast` number, since 4 + 6 + 4 + 23 + 0 + 1 + 511 + 115 + 2 = 666.

46423015111152 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46423015111153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57227202 + ... + 58032737.

It is an arithmetic number, because the mean of its divisors is an integer number (2166106946406).

Almost surely, 246423015111152 is an apocalyptic number.

It is an amenable number.

46423015111152 is an abundant number, since it is smaller than the sum of its proper divisors (83543401673208).

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

46423015111152 is a wasteful number, since it uses less digits than its factorization.

46423015111152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115262750 (or 115262741 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 46423015111152 in words is "forty-six trillion, four hundred twenty-three billion, fifteen million, one hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2797 5594 8391 11188 16782 22376 25173 33564 44752 50346 67128 100692 134256 201384 402768 115259939 230519878 345779817 461039756 691559634 922079512 1037339451 1383119268 1844159024 2074678902 2766238536 4149357804 5532477072 8298715608 16597431216 322382049383 644764098766 967146148149 1289528197532 1934292296298 2579056395064 2901438444447 3868584592596 5158112790128 5802876888894 7737169185192 11605753777788 15474338370384 23211507555576 46423015111152