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13145454616 = 2372611015443
BaseRepresentation
bin11000011111000011…
…11011100000011000
31020221010111021200111
430033201323200120
5203410214021431
610012224414104
7643520343400
oct141741734030
936833437614
1013145454616
1156362a2688
12266a477334
13131656ba18
148c9bcd800
1551e0d47b1
hex30f87b818

13145454616 has 96 divisors (see below), whose sum is σ = 29435816880. Its totient is φ = 5485536000.

The previous prime is 13145454611. The next prime is 13145454617. The reversal of 13145454616 is 61645454131.

It is a super-2 number, since 2×131454546162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145454611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412391 + ... + 2417833.

Almost surely, 213145454616 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 13145454616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717908440).

13145454616 is an abundant number, since it is smaller than the sum of its proper divisors (16290362264).

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

13145454616 is a wasteful number, since it uses less digits than its factorization.

13145454616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5614 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The spelling of 13145454616 in words is "thirteen billion, one hundred forty-five million, four hundred fifty-four thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 101 122 196 202 244 392 404 427 488 707 808 854 1414 1708 2828 2989 3416 4949 5443 5656 5978 6161 9898 10886 11956 12322 19796 21772 23912 24644 38101 39592 43127 43544 49288 76202 86254 152404 172508 266707 301889 304808 332023 345016 533414 549743 603778 664046 1066828 1099486 1207556 1328092 2133656 2198972 2324161 2415112 2656184 3848201 4397944 4648322 7696402 9296644 15392804 16269127 18593288 26937407 30785608 32538254 33534323 53874814 65076508 67068646 107749628 130153016 134137292 215499256 234740261 268274584 469480522 938961044 1643181827 1877922088 3286363654 6572727308 13145454616