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55446466112202 = 231173101137831697
BaseRepresentation
bin11001001101101101000101…
…11010101010101011001010
321021022122000120000211110110
430212312202322222223022
524231413330311042302
6313531431020055150
714451606055500204
oct1446664272525312
9237278016024413
1055446466112202
11167377946a7870
126275a913944b6
1324c276b9c2209
14d998a23c3774
1566245326bb6c
hex326da2eaaaca

55446466112202 has 128 divisors (see below), whose sum is σ = 124749590047488. Its totient is φ = 16287934464000.

The previous prime is 55446466112131. The next prime is 55446466112263. The reversal of 55446466112202 is 20221166464455.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66250818 + ... + 67082514.

It is an arithmetic number, because the mean of its divisors is an integer number (974606172246).

Almost surely, 255446466112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55446466112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62374795023744).

55446466112202 is an abundant number, since it is smaller than the sum of its proper divisors (69303123935286).

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

55446466112202 is a wasteful number, since it uses less digits than its factorization.

55446466112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832024.

The product of its (nonzero) digits is 2764800, while the sum is 48.

It can be divided in two parts, 554464 and 66112202, that added together give a palindrome (66666666).

The spelling of 55446466112202 in words is "fifty-five trillion, four hundred forty-six billion, four hundred sixty-six million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 101 137 146 202 219 274 303 411 438 606 803 822 1111 1507 1606 2222 2409 3014 3333 4521 4818 6666 7373 9042 10001 13837 14746 20002 22119 27674 30003 41511 44238 60006 81103 83022 110011 152207 162206 220022 243309 304414 330033 456621 486618 660066 831697 913242 1010101 1663394 2020202 2495091 3030303 4990182 6060606 9148667 11111111 18297334 22222222 27446001 33333333 54892002 60713881 66666666 84001397 113942489 121427762 168002794 182141643 227884978 252004191 341827467 364283286 504008382 667852691 683654934 924015367 1253367379 1335705382 1848030734 2003558073 2506734758 2772046101 3760102137 4007116146 5544092202 6132101981 7520204274 8317801697 11508191389 12264203962 16635603394 18396305943 23016382778 24953405091 34524574167 36792611886 49906810182 67453121791 69049148334 91495818667 126590105279 134906243582 182991637334 202359365373 253180210558 274487456001 379770315837 404718730746 548974912002 759540631674 840097971397 1680195942794 2520293914191 5040587828382 9241077685367 18482155370734 27723233056101 55446466112202