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629146230012 = 2232161928873739
BaseRepresentation
bin10010010011111000000…
…10011001110011111100
32020010221021121221121200
421021330002121303330
540301442413330022
61201005323055500
763311554501356
oct11117402316374
92203837557550
10629146230012
112229017105a3
12a1b23971590
1347436194361
14226451680d6
1511573a4cbac
hex927c099cfc

629146230012 has 72 divisors (see below), whose sum is σ = 1592301110400. Its totient is φ = 209457245088.

The previous prime is 629146229993. The next prime is 629146230019. The reversal of 629146230012 is 210032641926.

It is a happy number.

629146230012 is a `hidden beast` number, since 6 + 2 + 9 + 14 + 623 + 0 + 0 + 12 = 666.

629146230012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629146230019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168264039 + ... + 168267777.

It is an arithmetic number, because the mean of its divisors is an integer number (22115293200).

Almost surely, 2629146230012 is an apocalyptic number.

It is an amenable number.

629146230012 is an abundant number, since it is smaller than the sum of its proper divisors (963154880388).

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

629146230012 is a wasteful number, since it uses less digits than its factorization.

629146230012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 629146230012 its reverse (210032641926), we get a palindrome (839178871938).

It can be divided in two parts, 62914 and 6230012, that added together give a palindrome (6292926).

The spelling of 629146230012 in words is "six hundred twenty-nine billion, one hundred forty-six million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1619 2887 3238 3739 4857 5774 6476 7478 8661 9714 11217 11548 14571 14956 17322 19428 22434 25983 29142 33651 34644 44868 51966 58284 67302 103932 134604 4674053 6053441 9348106 10794493 12106882 14022159 18160323 18696212 21588986 24213764 28044318 32383479 36320646 42066477 43177972 54480969 56088636 64766958 72641292 84132954 97150437 108961938 129533916 168265908 194300874 217923876 388601748 17476284167 34952568334 52428852501 69905136668 104857705002 157286557503 209715410004 314573115006 629146230012