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512081830638 = 232728371432549
BaseRepresentation
bin1110111001110100111…
…01001010001011101110
31210221202212022022010100
413130322131022023232
531342220422040023
61031125214451530
751665602512360
oct7347235121356
91727685268110
10512081830638
111881999306a4
12832b3203ba6
133939b233ca1
141aadba62d30
15d4c1669c43
hex773a74a2ee

512081830638 has 48 divisors (see below), whose sum is σ = 1268459992800. Its totient is φ = 146257420608.

The previous prime is 512081830613. The next prime is 512081830657. The reversal of 512081830638 is 836038180215.

512081830638 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 8 + 1 + 8 + 3 + 0 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 512081830593 and 512081830602.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 358813 + ... + 1073736.

It is an arithmetic number, because the mean of its divisors is an integer number (26426249850).

Almost surely, 2512081830638 is an apocalyptic number.

512081830638 is an abundant number, since it is smaller than the sum of its proper divisors (756378162162).

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

512081830638 is a wasteful number, since it uses less digits than its factorization.

512081830638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435401 (or 1435398 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 512081830638 in words is "five hundred twelve billion, eighty-one million, eight hundred thirty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2837 5674 8511 17022 19859 25533 39718 51066 59577 119154 178731 357462 1432549 2865098 4297647 8595294 10027843 12892941 20055686 25785882 30083529 60167058 90250587 180501174 4064141513 8128283026 12192424539 24384849078 28448990591 36577273617 56897981182 73154547234 85346971773 170693943546 256040915319 512081830638