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13670561484 = 22341918112269
BaseRepresentation
bin11001011101101010…
…00011011011001100
31022021201120110220000
430232311003123030
5210444130431414
610140303324300
7662524566246
oct145665033314
938251513800
1013670561484
1158857481a8
1227962b0690
13139b2a4848
1493983d096
1555025bb09
hex32ed436cc

13670561484 has 120 divisors (see below), whose sum is σ = 37829391600. Its totient is φ = 4292818560.

The previous prime is 13670561417. The next prime is 13670561507. The reversal of 13670561484 is 48416507631.

13670561484 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 0 + 561 + 4 + 84 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1108102 + ... + 1120370.

It is an arithmetic number, because the mean of its divisors is an integer number (315244930).

Almost surely, 213670561484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13670561484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914695800).

13670561484 is an abundant number, since it is smaller than the sum of its proper divisors (24158830116).

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

13670561484 is a wasteful number, since it uses less digits than its factorization.

13670561484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13670561484 in words is "thirteen billion, six hundred seventy million, five hundred sixty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 181 228 324 342 362 513 543 684 724 1026 1086 1539 1629 2052 2172 3078 3258 3439 4887 6156 6516 6878 9774 10317 12269 13756 14661 19548 20634 24538 29322 30951 36807 41268 49076 58644 61902 73614 92853 110421 123804 147228 185706 220842 233111 278559 331263 371412 441684 466222 557118 662526 699333 932444 993789 1114236 1325052 1398666 1987578 2097999 2220689 2797332 3975156 4195998 4441378 6293997 6662067 8391996 8882756 12587994 13324134 18881991 19986201 25175988 26648268 37763982 39972402 42193091 59958603 75527964 79944804 84386182 119917206 126579273 168772364 179875809 239834412 253158546 359751618 379737819 506317092 719503236 759475638 1139213457 1518951276 2278426914 3417640371 4556853828 6835280742 13670561484