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13507780778780 = 2256773791747951
BaseRepresentation
bin1100010010010000011001…
…1110011001101100011100
31202211022221110121202102212
43010210012132121230130
53232302413334410110
644421215552535552
72562622254120221
oct304440636315434
952738843552385
1013507780778780
114338688114482
121621a945515b8
1376ca16ac21b2
14349acc769948
1518657d410e05
hexc4906799b1c

13507780778780 has 96 divisors (see below), whose sum is σ = 29553533399040. Its totient is φ = 5183105241600.

The previous prime is 13507780778773. The next prime is 13507780778803. The reversal of 13507780778780 is 8787708770531.

It is a self number, because there is not a number n which added to its sum of digits gives 13507780778780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6853805 + ... + 8601755.

It is an arithmetic number, because the mean of its divisors is an integer number (307849306240).

Almost surely, 213507780778780 is an apocalyptic number.

13507780778780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13507780778780 is an abundant number, since it is smaller than the sum of its proper divisors (16045752620260).

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

13507780778780 is a wasteful number, since it uses less digits than its factorization.

13507780778780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748179 (or 1748177 counting only the distinct ones).

The product of its (nonzero) digits is 129077760, while the sum is 68.

The spelling of 13507780778780 in words is "thirteen trillion, five hundred seven billion, seven hundred eighty million, seven hundred seventy-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 67 73 79 134 146 158 268 292 316 335 365 395 670 730 790 1340 1460 1580 4891 5293 5767 9782 10586 11534 19564 21172 23068 24455 26465 28835 48910 52930 57670 97820 105860 115340 386389 772778 1545556 1747951 1931945 3495902 3863890 6991804 7727780 8739755 17479510 34959020 117112717 127600423 138088129 234225434 255200846 276176258 468450868 510401692 552352516 585563585 638002115 690440645 1171127170 1276004230 1380881290 2342254340 2552008460 2761762580 8549228341 9251904643 10080433417 17098456682 18503809286 20160866834 34196913364 37007618572 40321733668 42746141705 46259523215 50402167085 85492283410 92519046430 100804334170 170984566820 185038092860 201608668340 675389038939 1350778077878 2701556155756 3376945194695 6753890389390 13507780778780