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48405122150484 = 223117945599101797
BaseRepresentation
bin10110000000110001100100…
…00111000111000001010100
320100101111002012002222200210
423000120302013013001110
522321032142232303414
6250541001154005420
713124104023400311
oct1300306207070124
9210344065088623
1048405122150484
1114472551598120
1255192a1576870
132101777a56518
14bd4b6b2d7d08
1558e1dd0aee59
hex2c06321c7054

48405122150484 has 96 divisors (see below), whose sum is σ = 124776658944000. Its totient is φ = 14482085304960.

The previous prime is 48405122150443. The next prime is 48405122150531.

48405122150484 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475455474 + ... + 475557270.

It is an arithmetic number, because the mean of its divisors is an integer number (1299756864000).

Almost surely, 248405122150484 is an apocalyptic number.

48405122150484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48405122150484 is an abundant number, since it is smaller than the sum of its proper divisors (76371536793516).

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

48405122150484 is a wasteful number, since it uses less digits than its factorization.

48405122150484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147493 (or 147491 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

It can be divided in two parts, 4840512 and 2150484, that added together give a palindrome (6990996).

The spelling of 48405122150484 in words is "forty-eight trillion, four hundred five billion, one hundred twenty-two million, one hundred fifty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 45599 91198 101797 136797 182396 203594 273594 305391 407188 501589 547188 610782 1003178 1119767 1221564 1504767 2006356 2239534 3009534 3359301 3602321 4479068 6019068 6718602 7204642 8041963 10806963 13437204 14409284 16083926 21613926 24125889 32167852 39625531 43227852 48251778 79251062 88461593 96503556 118876593 158502124 176923186 237753186 265384779 353846372 475506372 530769558 1061539116 4641841403 9283682806 13925524209 18567365612 27851048418 51060255433 55702096836 102120510866 153180766299 204241021732 306361532598 366705470837 612723065196 733410941674 1100116412511 1466821883348 2200232825022 4033760179207 4400465650044 8067520358414 12101280537621 16135040716828 24202561075242 48405122150484