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13214713396248 = 23327132155145973
BaseRepresentation
bin1100000001001100101001…
…0011000011110000011000
31201210022111002122012000200
43000103022103003300120
53213002213112134443
644034431105502200
72532505626351360
oct300231223036030
951708432565020
1013214713396248
114235368229301
121595124941960
1374b1b0336200
1433984a2439a0
1517db296aadd3
hexc04ca4c3c18

13214713396248 has 144 divisors (see below), whose sum is σ = 44291072657520. Its totient is φ = 3485199115008.

The previous prime is 13214713396237. The next prime is 13214713396253. The reversal of 13214713396248 is 84269331741231.

13214713396248 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 7 + 1 + 3 + 3 + 9 + 624 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13214713396194 and 13214713396203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77487811 + ... + 77658162.

It is an arithmetic number, because the mean of its divisors is an integer number (307576893455).

Almost surely, 213214713396248 is an apocalyptic number.

13214713396248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13214713396248 is an abundant number, since it is smaller than the sum of its proper divisors (31076359261272).

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

13214713396248 is a wasteful number, since it uses less digits than its factorization.

13214713396248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155146018 (or 155145998 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13214713396248 in words is "thirteen trillion, two hundred fourteen billion, seven hundred thirteen million, three hundred ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 28392 42588 85176 155145973 310291946 465437919 620583892 930875838 1086021811 1241167784 1396313757 1861751676 2016897649 2172043622 2792627514 3258065433 3723503352 4033795298 4344087244 5585255028 6050692947 6516130866 8067590596 8688174488 9774196299 11170510056 12101385894 13032261732 14118283543 16135181192 18152078841 19548392598 24202771788 26064523464 26219669437 28236567086 36304157682 39096785196 42354850629 48405543576 52439338874 56473134172 72608315364 78193570392 78659008311 84709701258 104878677748 112946268344 127064551887 145216630728 157318016622 169419402516 183537686059 209757355496 235977024933 254129103774 314636033244 338838805032 367075372118 471954049866 508258207548 550613058177 629272066488 734150744236 943908099732 1016516415096 1101226116354 1468301488472 1651839174531 1887816199464 2202452232708 3303678349062 4404904465416 6607356698124 13214713396248