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675490338144 = 2533279612
BaseRepresentation
bin10011101010001100101…
…11001001010101100000
32101120120002020120102000
421311012113021111200
542031401011310034
61234152130124000
766542165065266
oct11650627112540
92346502216360
10675490338144
1124052375aa06
12aaab8420600
134b9106b4b4b
14249a011a436
1512887490599
hex9d465c9560

675490338144 has 72 divisors (see below), whose sum is σ = 1970250617160. Its totient is φ = 225155393280.

The previous prime is 675490338101. The next prime is 675490338157. The reversal of 675490338144 is 441833094576.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

675490338144 is a `hidden beast` number, since 6 + 7 + 5 + 490 + 3 + 3 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6754903381442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24144324 + ... + 24172284.

It is an arithmetic number, because the mean of its divisors is an integer number (27364591905).

Almost surely, 2675490338144 is an apocalyptic number.

It is an amenable number.

675490338144 is an abundant number, since it is smaller than the sum of its proper divisors (1294760279016).

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

675490338144 is an frugal number, since it uses more digits than its factorization.

675490338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55941 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

Multiplying 675490338144 by its sum of digits (54), we get a square (36476478259776 = 60395762).

675490338144 divided by its sum of digits (54) gives a square (12509080336 = 1118442).

The spelling of 675490338144 in words is "six hundred seventy-five billion, four hundred ninety million, three hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 27961 55922 83883 111844 167766 223688 251649 335532 447376 503298 671064 754947 894752 1006596 1342128 1509894 2013192 2684256 3019788 4026384 6039576 8052768 12079152 24158304 781817521 1563635042 2345452563 3127270084 4690905126 6254540168 7036357689 9381810252 12509080336 14072715378 18763620504 21109073067 25018160672 28145430756 37527241008 42218146134 56290861512 75054482016 84436292268 112581723024 168872584536 225163446048 337745169072 675490338144