Search a number
-
+
13710409428496 = 24111731267135537
BaseRepresentation
bin1100011110000011010000…
…0101010110111000010000
31210112200222000011200110011
43013200310011112320100
53244112404303202441
645054250344044304
72613354504201064
oct307406405267020
953480860150404
1013710409428496
114406608769060
121655204463694
13785b698a57b1
143558319c9aa4
1518b98c524581
hexc7834156e10

13710409428496 has 80 divisors (see below), whose sum is σ = 29149448030208. Its totient is φ = 6195317811200.

The previous prime is 13710409428491. The next prime is 13710409428509. The reversal of 13710409428496 is 69482490401731.

It is a super-4 number, since 4×137104094284964 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13710409428496.

It is not an unprimeable number, because it can be changed into a prime (13710409428491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385788840 + ... + 385824376.

Almost surely, 213710409428496 is an apocalyptic number.

13710409428496 is a gapful number since it is divisible by the number (16) 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 13710409428496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574724015104).

13710409428496 is an abundant number, since it is smaller than the sum of its proper divisors (15439038601712).

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

13710409428496 is a wasteful number, since it uses less digits than its factorization.

13710409428496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48400 (or 48394 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 13710409428496 in words is "thirteen trillion, seven hundred ten billion, four hundred nine million, four hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 173 176 346 692 1384 1903 2768 3806 7612 12671 15224 25342 30448 35537 50684 71074 101368 139381 142148 202736 278762 284296 390907 557524 568592 781814 1115048 1563628 2192083 2230096 3127256 4384166 6147901 6254512 8768332 12295802 17536664 24112913 24591604 35073328 48225826 49183208 67626911 96451652 98366416 135253822 192903304 270507644 385806608 450289327 541015288 900578654 1082030576 1801157308 3602314616 4953182597 7204629232 9906365194 19812730388 39625460776 77900053571 79250921552 155800107142 311600214284 623200428568 856900589281 1246400857136 1713801178562 3427602357124 6855204714248 13710409428496