Search a number
-
+
13419625562664 = 2335477691329277
BaseRepresentation
bin1100001101001000000000…
…0000111100001000101000
31202111220101210000210001120
43003102000000330020220
53224331343121001124
644312520232415240
72553351555132306
oct303220000741050
952456353023046
1013419625562664
11430425a865872
121608991547520
13764608240119
14345728881276
1518411ded6d79
hexc348003c228

13419625562664 has 64 divisors (see below), whose sum is σ = 33654128692800. Its totient is φ = 4459221172224.

The previous prime is 13419625562659. The next prime is 13419625562689. The reversal of 13419625562664 is 46626552691431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13419625562598 and 13419625562607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9430794 + ... + 10760070.

It is an arithmetic number, because the mean of its divisors is an integer number (525845760825).

Almost surely, 213419625562664 is an apocalyptic number.

It is an amenable number.

13419625562664 is an abundant number, since it is smaller than the sum of its proper divisors (20234503130136).

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

13419625562664 is a wasteful number, since it uses less digits than its factorization.

13419625562664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330602 (or 1330598 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 60.

The spelling of 13419625562664 in words is "thirteen trillion, four hundred nineteen billion, six hundred twenty-five million, five hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 547 769 1094 1538 1641 2188 2307 3076 3282 4376 4614 6152 6564 9228 13128 18456 420643 841286 1261929 1329277 1682572 2523858 2658554 3365144 3987831 5047716 5317108 7975662 10095432 10634216 15951324 31902648 727114519 1022214013 1454229038 2044428026 2181343557 2908458076 3066642039 4088856052 4362687114 5816916152 6133284078 8177712104 8725374228 12266568156 17450748456 24533136312 559151065111 1118302130222 1677453195333 2236604260444 3354906390666 4473208520888 6709812781332 13419625562664