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4974406560 = 253351151483
BaseRepresentation
bin1001010000111111…
…10110101110100000
3110211200020000222000
410220133312232200
540141422002220
62141334444000
7234161521014
oct45037665640
913750200860
104974406560
112122a17302
12b69b03600
1361376a546
1435291c544
151e1a9d390
hex1287f6ba0

4974406560 has 96 divisors (see below), whose sum is σ = 17410438080. Its totient is φ = 1326507264.

The previous prime is 4974406559. The next prime is 4974406573. The reversal of 4974406560 is 656044794.

4974406560 is a `hidden beast` number, since 4 + 97 + 440 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 571422 + ... + 580061.

It is an arithmetic number, because the mean of its divisors is an integer number (181358730).

Almost surely, 24974406560 is an apocalyptic number.

4974406560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4974406560 is an abundant number, since it is smaller than the sum of its proper divisors (12436031520).

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

4974406560 is a wasteful number, since it uses less digits than its factorization.

4974406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151507 (or 1151493 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4974406560 is about 70529.4729882480. The cubic root of 4974406560 is about 1707.0533432387.

The spelling of 4974406560 in words is "four billion, nine hundred seventy-four million, four hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1151483 2302966 3454449 4605932 5757415 6908898 9211864 10363347 11514830 13817796 17272245 18423728 20726694 23029660 27635592 31090041 34544490 36847456 41453388 46059320 51816735 55271184 62180082 69088980 82906776 92118640 103633470 110542368 124360164 138177960 155450205 165813552 184237280 207266940 248720328 276355920 310900410 331627104 414533880 497440656 552711840 621800820 829067760 994881312 1243601640 1658135520 2487203280 4974406560