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13482020148 = 22310134732057
BaseRepresentation
bin11001000111001011…
…10100110100110100
31021210120210120210120
430203211310310310
5210102344121043
610105450251540
7655045165122
oct144345646464
937716716716
1013482020148
115799281313
122743126bb0
13136b20001c
1491c7a0912
1553d917983
hex323974d34

13482020148 has 48 divisors (see below), whose sum is σ = 31862061504. Its totient is φ = 4436550400.

The previous prime is 13482020137. The next prime is 13482020159. The reversal of 13482020148 is 84102028431.

13482020148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13482020137) and next prime (13482020159).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404536 + ... + 436592.

It is an arithmetic number, because the mean of its divisors is an integer number (663792948).

Almost surely, 213482020148 is an apocalyptic number.

It is an amenable number.

13482020148 is an abundant number, since it is smaller than the sum of its proper divisors (18380041356).

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

13482020148 is a wasteful number, since it uses less digits than its factorization.

13482020148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32512 (or 32510 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 13482020148 its reverse (84102028431), we get a palindrome (97584048579).

The spelling of 13482020148 in words is "thirteen billion, four hundred eighty-two million, twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 101 202 303 347 404 606 694 1041 1212 1388 2082 4164 32057 35047 64114 70094 96171 105141 128228 140188 192342 210282 384684 420564 3237757 6475514 9713271 11123779 12951028 19426542 22247558 33371337 38853084 44495116 66742674 133485348 1123501679 2247003358 3370505037 4494006716 6741010074 13482020148