Search a number
-
+
425473387700 = 2252411791813203
BaseRepresentation
bin1100011000100000011…
…00001010110010110100
31111200012222020112122112
412030100030022302310
523432332141401300
6523243151150152
742511425060314
oct6142014126264
91450188215575
10425473387700
111544956a9629
126a562215358
1331177c6c90a
1416843375444
15b102e28e35
hex631030acb4

425473387700 has 144 divisors (see below), whose sum is σ = 956633146560. Its totient is φ = 164147328000.

The previous prime is 425473387693. The next prime is 425473387723. The reversal of 425473387700 is 7783374524.

It is a super-3 number, since 3×4254733877003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132834299 + ... + 132837501.

It is an arithmetic number, because the mean of its divisors is an integer number (6643285740).

Almost surely, 2425473387700 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 425473387700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478316573280).

425473387700 is an abundant number, since it is smaller than the sum of its proper divisors (531159758860).

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

425473387700 is a wasteful number, since it uses less digits than its factorization.

425473387700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 425473387700 in words is "four hundred twenty-five billion, four hundred seventy-three million, three hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 179 181 205 358 362 410 716 724 820 895 905 1025 1790 1810 2050 3203 3580 3620 4100 4475 4525 6406 7339 7421 8950 9050 12812 14678 14842 16015 17900 18100 29356 29684 32030 32399 36695 37105 64060 64798 73390 74210 80075 129596 131323 146780 148420 160150 161995 183475 185525 262646 320300 323990 366950 371050 525292 573337 579743 647980 656615 733900 742100 809975 1146674 1159486 1313230 1328359 1619950 2293348 2318972 2626460 2656718 2866685 2898715 3239900 3283075 5313436 5733370 5797430 6566150 6641795 11466740 11594860 13132300 13283590 14333425 14493575 23506817 23769463 26567180 28666850 28987150 33208975 47013634 47538926 57333700 57974300 66417950 94027268 95077852 103773997 117534085 118847315 132835900 207547994 235068170 237694630 415095988 470136340 475389260 518869985 587670425 594236575 1037739970 1175340850 1188473150 2075479940 2350681700 2376946300 2594349925 4254733877 5188699850 8509467754 10377399700 17018935508 21273669385 42547338770 85094677540 106368346925 212736693850 425473387700