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13697309952 = 2834660557
BaseRepresentation
bin11001100000110110…
…00101110100000000
31022100120220102220000
430300123011310000
5211023002404302
610143100520000
7663301133154
oct146033056400
938316812800
1013697309952
115899857777
1227a3250000
1313a39ab841
1493d203064
1555279231c
hex3306c5d00

13697309952 has 90 divisors (see below), whose sum is σ = 40842961698. Its totient is φ = 4565763072.

The previous prime is 13697309947. The next prime is 13697309987. The reversal of 13697309952 is 25990379631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11171644416 + 2525665536 = 105696^2 + 50256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 309543 + ... + 351014.

Almost surely, 213697309952 is an apocalyptic number.

13697309952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13697309952 is an abundant number, since it is smaller than the sum of its proper divisors (27145651746).

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

13697309952 is an frugal number, since it uses more digits than its factorization.

13697309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660585 (or 660562 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 13697309952 in words is "thirteen billion, six hundred ninety-seven million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 660557 1321114 1981671 2642228 3963342 5284456 5945013 7926684 10568912 11890026 15853368 17835039 21137824 23780052 31706736 35670078 42275648 47560104 53505117 63413472 71340156 84551296 95120208 107010234 126826944 142680312 169102592 190240416 214020468 253653888 285360624 380480832 428040936 507307776 570721248 760961664 856081872 1141442496 1521923328 1712163744 2282884992 3424327488 4565769984 6848654976 13697309952