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13564240232380 = 2255976118798039
BaseRepresentation
bin1100010101100010101110…
…1110000111111110111100
31210000201200020001011120221
43011120223232013332330
53234214030444414010
644503154222551124
72566661342423215
oct305305356077674
953021606034527
1013564240232380
11435a61aaa0632
121630a107384a4
13775143b875c6
1434c726d0840c
15187c84de7dda
hexc562bb87fbc

13564240232380 has 96 divisors (see below), whose sum is σ = 29024811648000. Its totient is φ = 5323229160960.

The previous prime is 13564240232303. The next prime is 13564240232381. The reversal of 13564240232380 is 8323204246531.

It is a super-2 number, since 2×135642402323802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564240232381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687300401 + ... + 1687308439.

It is an arithmetic number, because the mean of its divisors is an integer number (302341788000).

Almost surely, 213564240232380 is an apocalyptic number.

13564240232380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564240232380 is an abundant number, since it is smaller than the sum of its proper divisors (15460571415620).

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

13564240232380 is a wasteful number, since it uses less digits than its factorization.

13564240232380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 13564240232380 in words is "thirteen trillion, five hundred sixty-four billion, two hundred forty million, two hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 761 1180 1522 1879 3044 3758 3805 7516 7610 8039 9395 15220 16078 18790 32156 37580 40195 44899 80390 89798 110861 160780 179596 221722 224495 443444 448990 474301 554305 897980 948602 1108610 1429919 1897204 2217220 2371505 2859838 4743010 5719676 6117679 7149595 9486020 12235358 14299190 15105281 24470716 28598380 30210562 30588395 60421124 61176790 75526405 84365221 122353580 151052810 168730442 302105620 337460884 360943061 421826105 721886122 843652210 891211579 1443772244 1687304420 1782423158 1804715305 3564846316 3609430610 4456057895 7218861220 8912115790 11495118841 17824231580 22990237682 45980475364 57475594205 114951188410 229902376820 678212011619 1356424023238 2712848046476 3391060058095 6782120116190 13564240232380