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673603252368 = 243109310941411
BaseRepresentation
bin10011100110101011110…
…00011111000010010000
32101101200120100200101020
421303111320133002100
542014014413033433
61233240555235440
766444342113424
oct11632570370220
92341616320336
10673603252368
1123a745525492
12aa670448b80
134b69c753447
1424861654b84
15127c6983cb3
hex9cd5e1f090

673603252368 has 80 divisors (see below), whose sum is σ = 1756713604800. Its totient is φ = 222397539840.

The previous prime is 673603252337. The next prime is 673603252369. The reversal of 673603252368 is 863252306376.

It is a self number, because there is not a number n which added to its sum of digits gives 673603252368.

It is not an unprimeable number, because it can be changed into a prime (673603252369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16245583 + ... + 16286993.

It is an arithmetic number, because the mean of its divisors is an integer number (21958920060).

Almost surely, 2673603252368 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 673603252368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878356802400).

673603252368 is an abundant number, since it is smaller than the sum of its proper divisors (1083110352432).

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

673603252368 is a wasteful number, since it uses less digits than its factorization.

673603252368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44640 (or 44634 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 673603252368 in words is "six hundred seventy-three billion, six hundred three million, two hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 3109 5232 6218 9327 12436 18654 24872 37308 41411 49744 74616 82822 124233 149232 165644 248466 331288 338881 496932 662576 677762 993864 1016643 1355524 1987728 2033286 2711048 4066572 4513799 5422096 8133144 9027598 13541397 16266288 18055196 27082794 36110392 54165588 72220784 108331176 128746799 216662352 257493598 386240397 514987196 772480794 1029974392 1544961588 2059948784 3089923176 6179846352 14033401091 28066802182 42100203273 56133604364 84200406546 112267208728 168400813092 224534417456 336801626184 673603252368