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1371415006269 = 3271117235061263
BaseRepresentation
bin10011111101001110101…
…101000100110000111101
311212002212021021122210100
4103331032231010300331
5134432124220200034
62530004103031313
7201036641133630
oct23751655046075
94762767248710
101371415006269
11489683022430
121a195813b539
139c4297459b9
144a53c09bc17
1525a18892099
hex13f4eb44c3d

1371415006269 has 96 divisors (see below), whose sum is σ = 2728709627904. Its totient is φ = 641363120640.

The previous prime is 1371415006259. The next prime is 1371415006279. The reversal of 1371415006269 is 9626005141731.

1371415006269 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 15 + 0 + 0 + 626 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1371415006259) and next prime (1371415006279).

It is not a de Polignac number, because 1371415006269 - 213 = 1371414998077 is a prime.

It is a super-3 number, since 3×13714150062693 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371415006259) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2259669 + ... + 2801594.

It is an arithmetic number, because the mean of its divisors is an integer number (28424058624).

Almost surely, 21371415006269 is an apocalyptic number.

It is an amenable number.

1371415006269 is a deficient number, since it is larger than the sum of its proper divisors (1357294621635).

1371415006269 is a wasteful number, since it uses less digits than its factorization.

1371415006269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061327 (or 5061324 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1371415006269 in words is "one trillion, three hundred seventy-one billion, four hundred fifteen million, six thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 11 17 21 23 33 51 63 69 77 99 119 153 161 187 207 231 253 357 391 483 561 693 759 1071 1173 1309 1449 1683 1771 2277 2737 3519 3927 4301 5313 8211 11781 12903 15939 24633 30107 38709 90321 270963 5061263 15183789 35428841 45551367 55673893 86041471 106286523 116409049 167021679 258124413 318859569 349227147 389717251 501065037 602290297 774373239 814863343 946456181 1047681441 1169151753 1280499539 1806870891 1978953833 2444590029 2839368543 3507455259 3841498617 5420612673 5936861499 6625193267 7333770087 8518105629 8963496773 11524495851 13852676831 17810584497 19875579801 21768492163 26890490319 41558030493 59626739403 65305476489 80671470957 124674091479 152379445141 195916429467 457138335423 1371415006269