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42001005012 = 22350314534789
BaseRepresentation
bin100111000111011101…
…000111100111010100
311000102010022010100020
4213013131013213110
51142004224130022
631143415145140
73014552436441
oct470735074724
9130363263306
1042001005012
11168a352179a
1281820751b0
133c647bc1b5
1420662489c8
15115c4e735c
hex9c77479d4

42001005012 has 48 divisors (see below), whose sum is σ = 98285281920. Its totient is φ = 13959969408.

The previous prime is 42001004963. The next prime is 42001005031. The reversal of 42001005012 is 21050010024.

It is a junction number, because it is equal to n+sod(n) for n = 42001004982 and 42001005000.

It is a congruent number.

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, 8767914 + ... + 8772702.

It is an arithmetic number, because the mean of its divisors is an integer number (2047610040).

Almost surely, 242001005012 is an apocalyptic number.

It is an amenable number.

42001005012 is an abundant number, since it is smaller than the sum of its proper divisors (56284276908).

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

42001005012 is a wasteful number, since it uses less digits than its factorization.

42001005012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 42001005012 its reverse (21050010024), we get a palindrome (63051015036).

The spelling of 42001005012 in words is "forty-two billion, one million, five thousand, twelve".

Divisors: 1 2 3 4 6 12 503 1006 1453 1509 2012 2906 3018 4359 4789 5812 6036 8718 9578 14367 17436 19156 28734 57468 730859 1461718 2192577 2408867 2923436 4385154 4817734 6958417 7226601 8770308 9635468 13916834 14453202 20875251 27833668 28906404 41750502 83501004 3500083751 7000167502 10500251253 14000335004 21000502506 42001005012