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131849549073 = 321153139293617
BaseRepresentation
bin111101011001011011…
…0000111010100010001
3110121022211012001222100
41322302312013110101
54130011441032243
6140323145231013
712345232450464
oct1726266072421
9417284161870
10131849549073
1150a0a6a6790
1221678192469
13c583122978
14654ad9d2db
15366a4080d3
hex1eb2d87511

131849549073 has 96 divisors (see below), whose sum is σ = 214280277120. Its totient is φ = 77445688320.

The previous prime is 131849549063. The next prime is 131849549081. The reversal of 131849549073 is 370945948131.

131849549073 is a `hidden beast` number, since 1 + 3 + 1 + 84 + 9 + 5 + 490 + 73 = 666.

It is not a de Polignac number, because 131849549073 - 210 = 131849548049 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131849549063) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 213694261 + ... + 213694877.

It is an arithmetic number, because the mean of its divisors is an integer number (2232086220).

Almost surely, 2131849549073 is an apocalyptic number.

It is an amenable number.

131849549073 is a deficient number, since it is larger than the sum of its proper divisors (82430728047).

131849549073 is a wasteful number, since it uses less digits than its factorization.

131849549073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 131849549073 in words is "one hundred thirty-one billion, eight hundred forty-nine million, five hundred forty-nine thousand, seventy-three".

Divisors: 1 3 9 11 33 53 99 139 159 293 417 477 583 617 879 1251 1529 1749 1851 2637 3223 4587 5247 5553 6787 7367 9669 13761 15529 20361 22101 29007 32701 40727 46587 61083 66303 81037 85763 98103 122181 139761 170819 180781 243111 257289 294309 359711 366543 447997 512457 542343 729333 771867 943393 1079133 1343991 1537371 1627029 1988591 2158531 2830179 3237399 4031973 4545439 5965773 6475593 8490537 9581393 13636317 17897319 19426779 23743841 25128559 28744179 40908951 49999829 71231523 75385677 86232537 105395323 149999487 213694569 226157031 276414149 316185969 449998461 829242447 948557907 1331813627 2487727341 3995440881 11986322643 14649949897 43949849691 131849549073