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450509945796 = 22334909849743
BaseRepresentation
bin1101000111001000111…
…11000011101111000100
31121001211210221110202000
412203210133003233010
524340121021231141
6542543355345300
744356025233131
oct6434437035704
91531753843660
10450509945796
11164073135259
127338aa52230
1333637c36131
1417b3a517588
15babae1d5b6
hex68e47c3bc4

450509945796 has 48 divisors (see below), whose sum is σ = 1168228051200. Its totient is φ = 150139214496.

The previous prime is 450509945789. The next prime is 450509945803. The reversal of 450509945796 is 697549905054.

450509945796 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 0 + 99 + 457 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (450509945789) and next prime (450509945803).

It is a super-2 number, since 2×4505099457962 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105301 + ... + 955043.

It is an arithmetic number, because the mean of its divisors is an integer number (24338084400).

Almost surely, 2450509945796 is an apocalyptic number.

It is an amenable number.

450509945796 is an abundant number, since it is smaller than the sum of its proper divisors (717718105404).

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

450509945796 is a wasteful number, since it uses less digits than its factorization.

450509945796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854665 (or 854657 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 450509945796 in words is "four hundred fifty billion, five hundred nine million, nine hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4909 9818 14727 19636 29454 44181 58908 88362 132543 176724 265086 530172 849743 1699486 2549229 3398972 5098458 7647687 10196916 15295374 22943061 30590748 45886122 91772244 4171388387 8342776774 12514165161 16685553548 25028330322 37542495483 50056660644 75084990966 112627486449 150169981932 225254972898 450509945796