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146465055066 = 231167257128879
BaseRepresentation
bin1000100001100111111…
…1110110000101011010
3112000001101211201001010
42020121333312011122
54344430023230231
6151141330234350
713403353266231
oct2103177660532
9460041751033
10146465055066
115712a783760
1224476a259b6
1310a720c9175
1471360d7b18
153c235bd546
hex2219ff615a

146465055066 has 64 divisors (see below), whose sum is σ = 325594183680. Its totient is φ = 43550453760.

The previous prime is 146465055017. The next prime is 146465055067. The reversal of 146465055066 is 660550564641.

It is not an unprimeable number, because it can be changed into a prime (146465055067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072015 + ... + 1200893.

It is an arithmetic number, because the mean of its divisors is an integer number (5087409120).

Almost surely, 2146465055066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146465055066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162797091840).

146465055066 is an abundant number, since it is smaller than the sum of its proper divisors (179129128614).

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

146465055066 is a wasteful number, since it uses less digits than its factorization.

146465055066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129219.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 146465055066 in words is "one hundred forty-six billion, four hundred sixty-five million, fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 257 402 514 737 771 1474 1542 2211 2827 4422 5654 8481 16962 17219 34438 51657 103314 128879 189409 257758 378818 386637 568227 773274 1136454 1417669 2835338 4253007 8506014 8634893 17269786 25904679 33121903 51809358 66243806 94983823 99365709 189967646 198731418 284951469 364340933 569902938 728681866 1093022799 2186045598 2219167501 4438335002 6657502503 13315005006 24410842511 48821685022 73232527533 146465055066