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13482714690 = 2325477144893
BaseRepresentation
bin11001000111010000…
…11110011001000010
31021210122002212112100
430203220132121002
5210103033332230
610105513211230
7655054120044
oct144350363102
937718085470
1013482714690
115799706115
122743400b16
13136b3b41b3
1491c901a94
1553da03660
hex323a1e642

13482714690 has 96 divisors (see below), whose sum is σ = 36305957376. Its totient is φ = 3469253760.

The previous prime is 13482714677. The next prime is 13482714709. The reversal of 13482714690 is 9641728431.

13482714690 is a `hidden beast` number, since 13 + 482 + 71 + 4 + 6 + 90 = 666.

It is a super-2 number, since 2×134827146902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277884 + ... + 322776.

It is an arithmetic number, because the mean of its divisors is an integer number (378187056).

Almost surely, 213482714690 is an apocalyptic number.

13482714690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13482714690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152978688).

13482714690 is an abundant number, since it is smaller than the sum of its proper divisors (22823242686).

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

13482714690 is a wasteful number, since it uses less digits than its factorization.

13482714690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45024 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13482714690 in words is "thirteen billion, four hundred eighty-two million, seven hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 71 90 94 141 142 213 235 282 355 423 426 470 639 705 710 846 1065 1278 1410 2115 2130 3195 3337 4230 6390 6674 10011 16685 20022 30033 33370 44893 50055 60066 89786 100110 134679 150165 224465 269358 300330 404037 448930 673395 808074 1346790 2020185 2109971 3187403 4040370 4219942 6329913 6374806 9562209 10549855 12659826 15937015 18989739 19124418 21099710 28686627 31649565 31874030 37979478 47811045 57373254 63299130 94948695 95622090 143433135 149807941 189897390 286866270 299615882 449423823 749039705 898847646 1348271469 1498079410 2247119115 2696542938 4494238230 6741357345 13482714690