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53861419164 = 22372297939983
BaseRepresentation
bin110010001010011001…
…000000100010011100
312011000200202120220110
4302022121000202130
51340302010403124
640424341050020
73614510336400
oct621231004234
9164020676813
1053861419164
112092a404463
12a5320b6910
135104a60037
14286d4cd100
151603894029
hexc8a64089c

53861419164 has 144 divisors (see below), whose sum is σ = 153154713600. Its totient is φ = 14669875584.

The previous prime is 53861419111. The next prime is 53861419231. The reversal of 53861419164 is 46191416835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327117 + ... + 1367099.

It is an arithmetic number, because the mean of its divisors is an integer number (1063574400).

Almost surely, 253861419164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53861419164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76577356800).

53861419164 is an abundant number, since it is smaller than the sum of its proper divisors (99293294436).

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

53861419164 is a wasteful number, since it uses less digits than its factorization.

53861419164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40112 (or 40103 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 53861419164 in words is "fifty-three billion, eight hundred sixty-one million, four hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 79 84 87 98 116 147 158 174 196 203 237 294 316 348 406 474 553 588 609 812 948 1106 1218 1421 1659 2212 2291 2436 2842 3318 3871 4263 4582 5684 6636 6873 7742 8526 9164 11613 13746 15484 16037 17052 23226 27492 32074 39983 46452 48111 64148 79966 96222 112259 119949 159932 192444 224518 239898 279881 336777 449036 479796 559762 673554 839643 1119524 1159507 1347108 1679286 1959167 2319014 3158657 3358572 3478521 3918334 4638028 5877501 6317314 6957042 7836668 8116549 9475971 11755002 12634628 13914084 16233098 18951942 22110599 23510004 24349647 32466196 37903884 44221198 48699294 56815843 66331797 88442396 91601053 97398588 113631686 132663594 154774193 170447529 183202106 227263372 265327188 274803159 309548386 340895058 366404212 464322579 549606318 619096772 641207371 681790116 928645158 1099212636 1282414742 1857290316 1923622113 2564829484 3847244226 4488451597 7694488452 8976903194 13465354791 17953806388 26930709582 53861419164