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13917470065308 = 223217311063690103
BaseRepresentation
bin1100101010000110100111…
…0111000000001010011100
31211021111102102021212210200
43022201221313000022130
53311010434314042213
645333333020103500
72634334611443055
oct312415167001234
954244372255720
1013917470065308
11448640302a197
121689370694b90
1379c54793b674
143618756cd72c
1519205a78e273
hexca869dc029c

13917470065308 has 144 divisors (see below), whose sum is σ = 38487530704896. Its totient is φ = 4221436746240.

The previous prime is 13917470065271. The next prime is 13917470065361. The reversal of 13917470065308 is 80356007471931.

13917470065308 is a `hidden beast` number, since 1 + 39 + 1 + 7 + 4 + 70 + 0 + 6 + 530 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19822185 + ... + 20512287.

It is an arithmetic number, because the mean of its divisors is an integer number (267274518784).

Almost surely, 213917470065308 is an apocalyptic number.

13917470065308 is a gapful number since it is divisible by the number (18) 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 13917470065308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243765352448).

13917470065308 is an abundant number, since it is smaller than the sum of its proper divisors (24570060639588).

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

13917470065308 is a wasteful number, since it uses less digits than its factorization.

13917470065308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691224 (or 691219 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13917470065308 in words is "thirteen trillion, nine hundred seventeen billion, four hundred seventy million, sixty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1063 1116 1581 2108 2126 3162 3189 4252 4743 6324 6378 9486 9567 12756 18071 18972 19134 32953 36142 38268 54213 65906 72284 98859 108426 131812 162639 197718 216852 296577 325278 395436 560201 593154 650556 690103 1120402 1186308 1380206 1680603 2070309 2240804 2760412 3361206 4140618 5041809 6210927 6722412 8281236 10083618 11731751 12421854 20167236 21393193 23463502 24843708 35195253 42786386 46927004 64179579 70390506 85572772 105585759 128359158 140781012 192538737 211171518 256718316 363684281 385077474 422343036 727368562 733579489 770154948 1091052843 1454737124 1467158978 2182105686 2200738467 2934317956 3273158529 4364211372 4401476934 6546317058 6602215401 8802953868 12470851313 13092634116 13204430802 22740964159 24941702626 26408861604 37412553939 45481928318 49883405252 68222892477 74825107878 90963856636 112237661817 136445784954 149650215756 204668677431 224475323634 272891569908 386596390703 409337354862 448950647268 773192781406 818674709724 1159789172109 1546385562812 2319578344218 3479367516327 4639156688436 6958735032654 13917470065308