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20462350048 = 257193125003
BaseRepresentation
bin10011000011101001…
…101010111011100000
31221211001112002021121
4103003221222323200
5313401330200143
613222243102024
71323035051140
oct230351527340
957731462247
1020462350048
1187505104a8
123b70971914
131c11409a4a
14dc187a920
157eb6487ed
hex4c3a6aee0

20462350048 has 144 divisors (see below), whose sum is σ = 50087237760. Its totient is φ = 8038414080.

The previous prime is 20462350043. The next prime is 20462350123. The reversal of 20462350048 is 84005326402.

It is a junction number, because it is equal to n+sod(n) for n = 20462349995 and 20462350022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20462350043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4087515 + ... + 4092517.

It is an arithmetic number, because the mean of its divisors is an integer number (347828040).

Almost surely, 220462350048 is an apocalyptic number.

20462350048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20462350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043618880).

20462350048 is an abundant number, since it is smaller than the sum of its proper divisors (29624887712).

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

20462350048 is a wasteful number, since it uses less digits than its factorization.

20462350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 20462350048 in words is "twenty billion, four hundred sixty-two million, three hundred fifty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 266 304 434 496 532 589 608 868 961 992 1064 1178 1736 1922 2128 2356 3472 3844 4123 4256 4712 5003 6727 6944 7688 8246 9424 10006 13454 15376 16492 18259 18848 20012 26908 30752 32984 35021 36518 40024 53816 65968 70042 73036 80048 95057 107632 127813 131936 140084 146072 155093 160096 190114 215264 255626 280168 292144 310186 380228 511252 560336 584288 620372 665399 760456 1022504 1085651 1120672 1240744 1330798 1520912 2045008 2171302 2481488 2661596 2946767 3041824 4090016 4342604 4807883 4962976 5323192 5893534 8685208 9615766 10646384 11787068 17370416 19231532 20627369 21292768 23574136 33655181 34740832 38463064 41254738 47148272 67310362 76926128 82509476 91349777 94296544 134620724 153852256 165018952 182699554 269241448 330037904 365399108 538482896 639448439 660075808 730798216 1076965792 1278896878 1461596432 2557793756 2923192864 5115587512 10231175024 20462350048