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54241446601116 = 22332089072404111
BaseRepresentation
bin11000101010101000100100…
…01010000010000110011100
321010001102122200020010202000
430111110102022002012130
524102142440312213431
6311210102050002300
714265546416605065
oct1425242212020634
9233042580203660
1054241446601116
1116312739597805
126100432876390
132435c3c506c08
14d5742b39956c
15640e27a739e6
hex31551228219c

54241446601116 has 48 divisors (see below), whose sum is σ = 140626704314880. Its totient is φ = 18080388131760.

The previous prime is 54241446601081. The next prime is 54241446601151. The reversal of 54241446601116 is 61110664414245.

54241446601116 is a `hidden beast` number, since 5 + 4 + 24 + 1 + 4 + 4 + 6 + 601 + 1 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (54241446601081) and next prime (54241446601151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21359901 + ... + 23764011.

It is an arithmetic number, because the mean of its divisors is an integer number (2929723006560).

Almost surely, 254241446601116 is an apocalyptic number.

It is an amenable number.

54241446601116 is an abundant number, since it is smaller than the sum of its proper divisors (86385257713764).

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

54241446601116 is a wasteful number, since it uses less digits than its factorization.

54241446601116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613031 (or 2613023 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54241446601116 in words is "fifty-four trillion, two hundred forty-one billion, four hundred forty-six million, six hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 208907 417814 626721 835628 1253442 1880163 2404111 2506884 3760326 4808222 5640489 7212333 7520652 9616444 11280978 14424666 21636999 22561956 28849332 43273998 64910997 86547996 129821994 259643988 502235616677 1004471233354 1506706850031 2008942466708 3013413700062 4520120550093 6026827400124 9040241100186 13560361650279 18080482200372 27120723300558 54241446601116