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138876357717 = 32314118896427
BaseRepresentation
bin1000000101010110101…
…1010000110001010101
3111021110112100221022100
42001111223100301111
54233404321421332
6143444322152313
713014325364166
oct2012553206125
9437415327270
10138876357717
11539960a1059
1222ab94b2699
1310132b540c6
146a162d776d
15392c26a67c
hex2055ad0c55

138876357717 has 48 divisors (see below), whose sum is σ = 212265930240. Its totient is φ = 87352473600.

The previous prime is 138876357713. The next prime is 138876357731. The reversal of 138876357717 is 717753678831.

138876357717 is a `hidden beast` number, since 138 + 87 + 6 + 357 + 71 + 7 = 666.

It is not a de Polignac number, because 138876357717 - 22 = 138876357713 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138876357713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21605058 + ... + 21611484.

It is an arithmetic number, because the mean of its divisors is an integer number (4422206880).

Almost surely, 2138876357717 is an apocalyptic number.

It is an amenable number.

138876357717 is a deficient number, since it is larger than the sum of its proper divisors (73389572523).

138876357717 is a wasteful number, since it uses less digits than its factorization.

138876357717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8391 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 138876357717 in words is "one hundred thirty-eight billion, eight hundred seventy-six million, three hundred fifty-seven thousand, seven hundred seventeen".

Divisors: 1 3 9 31 41 93 123 279 369 1271 1889 3813 5667 6427 11439 17001 19281 57843 58559 77449 175677 199237 232347 263507 527031 597711 697041 790521 1793133 2371563 2400919 7202757 8168717 12140603 21608271 24506151 36421809 73518453 109265427 376358693 497764723 1129076079 1493294169 3387228237 4479882507 15430706413 46292119239 138876357717