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1687812512052 = 2237114537136273
BaseRepresentation
bin11000100011111001011…
…101110001100100110100
312222100112120000021202110
4120203321131301210310
5210123120000341202
63331211555411020
7232640365432512
oct30437135614464
95870476007673
101687812512052
115a08851864a7
12233138bb3a70
13c32107a7a44
145b994c874b2
152dd858b626c
hex188f9771934

1687812512052 has 48 divisors (see below), whose sum is σ = 3994001246592. Its totient is φ = 554637941760.

The previous prime is 1687812512051. The next prime is 1687812512069. The reversal of 1687812512052 is 2502152187861.

It is a super-2 number, since 2×16878125120522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1687812511992 and 1687812512010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687812512051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12317388 + ... + 12453660.

It is an arithmetic number, because the mean of its divisors is an integer number (83208359304).

Almost surely, 21687812512052 is an apocalyptic number.

1687812512052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687812512052 is an abundant number, since it is smaller than the sum of its proper divisors (2306188734540).

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

1687812512052 is a wasteful number, since it uses less digits than its factorization.

1687812512052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150888 (or 150886 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 1687812512052 in words is "one trillion, six hundred eighty-seven billion, eight hundred twelve million, five hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 14537 29074 43611 58148 87222 136273 174444 272546 408819 545092 817638 1032127 1635276 2064254 3096381 4128508 6192762 9675383 12385524 19350766 29026149 38701532 58052298 116104596 1981000601 3962001202 5943001803 7924002404 11886003606 23772007212 140651042671 281302085342 421953128013 562604170684 843906256026 1687812512052