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2466001164 = 22311172127509
BaseRepresentation
bin1001001011111100…
…0011000100001100
320100212012211122110
42102333003010030
520022244014124
61044410544020
7115052443524
oct22277030414
96325184573
102466001164
111055aa21a0
12589a38010
13303b872b3
14195720684
15e6762029
hex92fc310c

2466001164 has 144 divisors (see below), whose sum is σ = 6733762560. Its totient is φ = 696407040.

The previous prime is 2466001163. The next prime is 2466001183. The reversal of 2466001164 is 4611006642.

It is not an unprimeable number, because it can be changed into a prime (2466001163) 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, 4844542 + ... + 4845050.

It is an arithmetic number, because the mean of its divisors is an integer number (46762240).

Almost surely, 22466001164 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 2466001164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366881280).

2466001164 is an abundant number, since it is smaller than the sum of its proper divisors (4267761396).

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

2466001164 is a wasteful number, since it uses less digits than its factorization.

2466001164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2466001164 is about 49658.8477917078. The cubic root of 2466001164 is about 1351.0282361173.

The spelling of 2466001164 in words is "two billion, four hundred sixty-six million, one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 127 132 187 204 254 289 374 381 508 509 561 578 748 762 867 1018 1122 1156 1397 1524 1527 1734 2036 2159 2244 2794 3054 3179 3468 4191 4318 5588 5599 6108 6358 6477 8382 8636 8653 9537 11198 12716 12954 16764 16797 17306 19074 22396 23749 25908 25959 33594 34612 36703 38148 47498 51918 64643 67188 71247 73406 94996 95183 103836 110109 129286 142494 146812 147101 190366 193929 220218 258572 284988 285549 294202 380732 387858 403733 440436 441303 571098 588404 711073 775716 807466 882606 1098931 1142196 1211199 1422146 1614932 1618111 1765212 2133219 2197862 2422398 2844292 3236222 3296793 4266438 4395724 4844796 4854333 6472444 6593586 8532876 9708666 12088241 13187172 18681827 19417332 24176482 36264723 37363654 48352964 56045481 72529446 74727308 112090962 145058892 205500097 224181924 411000194 616500291 822000388 1233000582 2466001164