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54743466434745 = 35113714033638993
BaseRepresentation
bin11000111001001111101001…
…10111101110000010111001
321011211102110022010000211110
430130213310313232002321
524133404104401402440
6312232445025150533
714350041063023304
oct1434476467560271
9234742408100743
1054743466434745
11164966347090a0
12618179818b449
132471395c547ca
14d7385295bb3b
1564e00ab86080
hex31c9f4dee0b9

54743466434745 has 64 divisors (see below), whose sum is σ = 98141871815424. Its totient is φ = 25823046942720.

The previous prime is 54743466434737. The next prime is 54743466434791.

54743466434745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54743466434745 - 23 = 54743466434737 is a prime.

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, 85351969 + ... + 85990961.

It is an arithmetic number, because the mean of its divisors is an integer number (1533466747116).

Almost surely, 254743466434745 is an apocalyptic number.

54743466434745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54743466434745 is a deficient number, since it is larger than the sum of its proper divisors (43398405380679).

54743466434745 is a wasteful number, since it uses less digits than its factorization.

54743466434745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653082.

The product of its digits is 1625702400, while the sum is 66.

The spelling of 54743466434745 in words is "fifty-four trillion, seven hundred forty-three billion, four hundred sixty-six million, four hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1221 2035 6105 14033 42099 70165 154363 210495 463089 519221 638993 771815 1557663 1916979 2315445 2596105 3194965 5711431 7028923 7788315 9584895 17134293 21086769 23642741 28557155 35144615 70928223 85671465 105433845 118213705 260070151 354641115 780210453 1300350755 3901052265 8966988769 26900966307 44834943845 98636876459 134504831535 295910629377 331778584453 493184382295 995335753359 1479553146885 1658892922265 3649564428983 4976678766795 10948693286949 18247822144915 54743466434745