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61864909835211 = 327431271297138641
BaseRepresentation
bin11100001000100000010111…
…11110011000101111001011
322010001020010221020221220200
432010100023332120233023
531102043313404211321
6335324203000223243
716013410065121530
oct1604201376305713
9263036127227820
1061864909835211
11187918408726aa
126b31a0116ab23
132869ab38004c2
14113c3c5aa8d87
157243ace04d26
hex38440bf98bcb

61864909835211 has 96 divisors (see below), whose sum is σ = 105406038786048. Its totient is φ = 34230708449280.

The previous prime is 61864909835171. The next prime is 61864909835221. The reversal of 61864909835211 is 11253890946816.

61864909835211 is a `hidden beast` number, since 6 + 1 + 8 + 6 + 490 + 9 + 83 + 52 + 11 = 666.

61864909835211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61864909835211 - 211 = 61864909833163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (61864909835221) 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, 446154451 + ... + 446293091.

It is an arithmetic number, because the mean of its divisors is an integer number (1097979570688).

Almost surely, 261864909835211 is an apocalyptic number.

61864909835211 is a deficient number, since it is larger than the sum of its proper divisors (43541128950837).

61864909835211 is a wasteful number, since it uses less digits than its factorization.

61864909835211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140121 (or 140118 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 61864909835211 in words is "sixty-one trillion, eight hundred sixty-four billion, nine hundred nine million, eight hundred thirty-five thousand, two hundred eleven".

Divisors: 1 3 7 9 21 43 63 127 129 301 381 387 889 903 1143 1297 2667 2709 3891 5461 8001 9079 11673 16383 27237 38227 49149 55771 81711 114681 138641 164719 167313 344043 390397 415923 494157 501939 970487 1153033 1171191 1247769 1482471 2911461 3459099 3513573 5961563 7082917 8734383 10377297 17607407 17884689 21248751 41730941 49580419 52822221 53654067 63746253 123251849 125192823 148741257 158466663 179817377 369755547 375578469 446223771 539452131 757118501 1109266641 1258721639 1618356393 2271355503 3776164917 5299829507 6814066509 7732147211 11328494751 15899488521 22836806879 23196441633 47698465563 54125030477 68510420637 69589324899 159857648153 162375091431 205531261911 479572944459 487125274293 981982695797 1438718833377 2945948087391 6873878870579 8837844262173 20621636611737 61864909835211