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13681792215 = 345713371233
BaseRepresentation
bin11001011110111111…
…11001010011010111
31022022111201001120000
430233133321103113
5211010014322330
610141344142343
7663022213020
oct145737712327
938274631500
1013681792215
115891018aa3
12279a0079b3
1313a0707650
1493b123c47
15551229560
hex32f7f94d7

13681792215 has 80 divisors (see below), whose sum is σ = 30185779008. Its totient is φ = 5773400064.

The previous prime is 13681792199. The next prime is 13681792237. The reversal of 13681792215 is 51229718631.

13681792215 is a `hidden beast` number, since 1 + 368 + 1 + 79 + 2 + 215 = 666.

It is not a de Polignac number, because 13681792215 - 24 = 13681792199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148762 + ... + 222471.

Almost surely, 213681792215 is an apocalyptic number.

13681792215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13681792215 is an abundant number, since it is smaller than the sum of its proper divisors (16503986793).

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

13681792215 is a wasteful number, since it uses less digits than its factorization.

13681792215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371270 (or 371261 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 13681792215 in words is "thirteen billion, six hundred eighty-one million, seven hundred ninety-two thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 819 945 1053 1365 1755 2457 2835 4095 5265 7371 12285 36855 371233 1113699 1856165 2598631 3341097 4826029 5568495 7795893 10023291 12993155 14478087 16705485 23387679 24130145 30069873 33782203 38979465 43434261 50116455 70163037 72390435 101346609 116938395 130302783 150349365 168911015 210489111 217171305 304039827 350815185 390908349 506733045 651513915 912119481 1052445555 1520199135 1954541745 2736358443 4560597405 13681792215