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675045975168 = 27367234289
BaseRepresentation
bin10011101001010111110…
…00000010010010000000
32101112102010002121000000
421310223320002102000
542024443232201133
61234040054000000
766525161054355
oct11645370022200
92345363077000
10675045975168
11240315944484
12aa9b3646000
134b86c60cb86
142495b0c862c
151285d467413
hex9d2be02480

675045975168 has 112 divisors (see below), whose sum is σ = 2016305137350. Its totient is φ = 225015293952.

The previous prime is 675045975167. The next prime is 675045975199. The reversal of 675045975168 is 861579540576.

675045975168 is a `hidden beast` number, since 6 + 7 + 50 + 459 + 75 + 1 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 603654410304 + 71391564864 = 776952^2 + 267192^2 .

It is not an unprimeable number, because it can be changed into a prime (675045975167) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3523833 + ... + 3710456.

Almost surely, 2675045975168 is an apocalyptic number.

It is an amenable number.

675045975168 is an abundant number, since it is smaller than the sum of its proper divisors (1341259162182).

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

675045975168 is an frugal number, since it uses more digits than its factorization.

675045975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234321 (or 7234294 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 675045975168 in words is "six hundred seventy-five billion, forty-five million, nine hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 7234289 14468578 21702867 28937156 43405734 57874312 65108601 86811468 115748624 130217202 173622936 195325803 231497248 260434404 347245872 390651606 462994496 520868808 585977409 694491744 781303212 925988992 1041737616 1171954818 1388983488 1562606424 1757932227 2083475232 2343909636 2777966976 3125212848 3515864454 4166950464 4687819272 5273796681 6250425696 7031728908 8333900928 9375638544 10547593362 12500851392 14063457816 18751277088 21095186724 25001702784 28126915632 37502554176 42190373448 56253831264 75005108352 84380746896 112507662528 168761493792 225015325056 337522987584 675045975168