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7474140672 = 29331156967
BaseRepresentation
bin1101111010111111…
…00101011000000000
3201021212220200111220
412331133211120000
5110301340000142
63233352435040
7353134101405
oct67537453000
921255820456
107474140672
113195a59569
1215470a8a80
1392160595b
1450c9002ac
152db2752ec
hex1bd7e5600

7474140672 has 80 divisors (see below), whose sum is σ = 20554017792. Its totient is φ = 2410997760.

The previous prime is 7474140671. The next prime is 7474140673. The reversal of 7474140672 is 2760414747.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7474140671) and next prime (7474140673).

It is a super-3 number, since 3×74741406723 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7474140671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30868 + ... + 126099.

Almost surely, 27474140672 is an apocalyptic number.

It is an amenable number.

7474140672 is an abundant number, since it is smaller than the sum of its proper divisors (13079877120).

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

7474140672 is a wasteful number, since it uses less digits than its factorization.

7474140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157019 (or 157003 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The square root of 7474140672 is about 86453.1125639789. The cubic root of 7474140672 is about 1955.1815445733.

The spelling of 7474140672 in words is "seven billion, four hundred seventy-four million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 47616 156967 313934 470901 627868 941802 1255736 1883604 2511472 3767208 4865977 5022944 7534416 9731954 10045888 14597931 15068832 19463908 20091776 29195862 30137664 38927816 40183552 58391724 60275328 77855632 80367104 116783448 120550656 155711264 233566896 241101312 311422528 467133792 622845056 934267584 1245690112 1868535168 2491380224 3737070336 7474140672