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345522505461021 = 327171291249896761
BaseRepresentation
bin100111010010000000011101…
…0001100110010110100011101
31200022101121222111012022110200
41032210000322030302310131
5330242020042344223041
63222510503034254113
7132531114534454410
oct11644007214626435
91608347874168420
10345522505461021
11a01042a9641509
12329046abb87339
1311aa482b67b235
146147542835b77
1529e2c775a51b6
hex13a403a332d1d

345522505461021 has 48 divisors (see below), whose sum is σ = 604406306095488. Its totient is φ = 185683288550400.

The previous prime is 345522505460999. The next prime is 345522505461031. The reversal of 345522505461021 is 120164505225543.

345522505461021 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 2 + 5 + 0 + 5 + 4 + 610 + 21 = 666.

It is not a de Polignac number, because 345522505461021 - 213 = 345522505452829 is a prime.

It is a super-2 number, since 2×3455225054610212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345522505461031) 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, 123565720 + ... + 126331041.

It is an arithmetic number, because the mean of its divisors is an integer number (12591798043656).

Almost surely, 2345522505461021 is an apocalyptic number.

It is an amenable number.

345522505461021 is a deficient number, since it is larger than the sum of its proper divisors (258883800634467).

345522505461021 is a wasteful number, since it uses less digits than its factorization.

345522505461021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249898082 (or 249898079 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 345522505461021 in words is "three hundred forty-five trillion, five hundred twenty-two billion, five hundred five million, four hundred sixty-one thousand, twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1291 3873 9037 11619 21947 27111 65841 81333 153629 197523 460887 1382661 249896761 749690283 1749277327 2249070849 4248244937 5247831981 12744734811 15743495943 29737714559 38234204433 89213143677 267639431031 322616718451 967850155353 2258317029157 2903550466059 5484484213667 6774951087471 16453452641001 20324853262413 38391389495669 49360357923003 115174168487007 345522505461021