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13445723060 = 2257118998101
BaseRepresentation
bin11001000010110110…
…10111001110110100
31021201001111111112222
430201123113032310
5210014101114220
610102112301512
7654124521530
oct144133271664
937631444488
1013445723060
11577a83a820
122732b41898
131363831a63
14917a32bc0
1553a647e25
hex3216d73b4

13445723060 has 96 divisors (see below), whose sum is σ = 35599253760. Its totient is φ = 4143744000.

The previous prime is 13445723059. The next prime is 13445723063. The reversal of 13445723060 is 6032754431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13445723060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445723063) 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, 88010 + ... + 186110.

It is an arithmetic number, because the mean of its divisors is an integer number (370825560).

Almost surely, 213445723060 is an apocalyptic number.

13445723060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445723060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799626880).

13445723060 is an abundant number, since it is smaller than the sum of its proper divisors (22153530700).

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

13445723060 is a wasteful number, since it uses less digits than its factorization.

13445723060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98217 (or 98215 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 13445723060 in words is "thirteen billion, four hundred forty-five million, seven hundred twenty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 68530 98101 137060 196202 392404 490505 686707 981010 1079111 1373414 1962020 2158222 2746828 3433535 4316444 5395555 6867070 7553777 8730989 10791110 13734140 15107554 17461978 21582220 30215108 34923956 37768885 43654945 61116923 75537770 87309890 96040879 122233846 151075540 174619780 192081758 244467692 305584615 384163516 480204395 611169230 672286153 960408790 1222338460 1344572306 1920817580 2689144612 3361430765 6722861530 13445723060