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674198968128 = 26373731344869
BaseRepresentation
bin10011100111110010110…
…00111101011101000000
32101110020002022011202220
421303321120331131000
542021224413440003
61233420035411040
766465164450160
oct11637130753500
92343202264686
10674198968128
1123aa20817564
12aa7b7a53a80
134b765cabc8a
14248ba8045a0
151280de07353
hex9cf963d740

674198968128 has 112 divisors (see below), whose sum is σ = 2044116328320. Its totient is φ = 192111704064.

The previous prime is 674198968073. The next prime is 674198968129. The reversal of 674198968128 is 821869891476.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674198968129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171123 + ... + 1173746.

Almost surely, 2674198968128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674198968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022058164160).

674198968128 is an abundant number, since it is smaller than the sum of its proper divisors (1369917360192).

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

674198968128 is a wasteful number, since it uses less digits than its factorization.

674198968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345264 (or 1345254 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 69.

The spelling of 674198968128 in words is "six hundred seventy-four billion, one hundred ninety-eight million, nine hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 373 448 672 746 1119 1344 1492 2238 2611 2984 4476 5222 5968 7833 8952 10444 11936 15666 17904 20888 23872 31332 35808 41776 62664 71616 83552 125328 167104 250656 501312 1344869 2689738 4034607 5379476 8069214 9414083 10758952 16138428 18828166 21517904 28242249 32276856 37656332 43035808 56484498 64553712 75312664 86071616 112968996 129107424 150625328 225937992 258214848 301250656 451875984 501636137 602501312 903751968 1003272274 1504908411 1807503936 2006544548 3009816822 3511452959 4013089096 6019633644 7022905918 8026178192 10534358877 12039267288 14045811836 16052356384 21068717754 24078534576 28091623672 32104712768 42137435508 48157069152 56183247344 84274871016 96314138304 112366494688 168549742032 224732989376 337099484064 674198968128