Search a number
-
+
676225744700 = 2252113159336113
BaseRepresentation
bin10011101011100100011…
…00011111111100111100
32101122110100001002112212
421311302030133330330
542034402242312300
61234353120315552
766566334663602
oct11656214377474
92348410032485
10676225744700
11240870892820
12ab082772bb8
134b9c9b7005c
1424a2da6d872
15128cbd08935
hex9d7231ff3c

676225744700 has 144 divisors (see below), whose sum is σ = 1680462443520. Its totient is φ = 233933952000.

The previous prime is 676225744699. The next prime is 676225744709. The reversal of 676225744700 is 7447522676.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676225744709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843844 + ... + 2179956.

It is an arithmetic number, because the mean of its divisors is an integer number (11669878080).

Almost surely, 2676225744700 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 676225744700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840231221760).

676225744700 is an abundant number, since it is smaller than the sum of its proper divisors (1004236698820).

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

676225744700 is a wasteful number, since it uses less digits than its factorization.

676225744700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336228 (or 336221 counting only the distinct ones).

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

The spelling of 676225744700 in words is "six hundred seventy-six billion, two hundred twenty-five million, seven hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 59 62 100 110 118 124 155 220 236 275 295 310 341 550 590 620 649 682 775 1100 1180 1298 1364 1475 1550 1705 1829 2596 2950 3100 3245 3410 3658 5900 6490 6820 7316 8525 9145 12980 16225 17050 18290 20119 32450 34100 36580 40238 45725 64900 80476 91450 100595 182900 201190 336113 402380 502975 672226 1005950 1344452 1680565 2011900 3361130 3697243 6722260 7394486 8402825 10419503 14788972 16805650 18486215 19830667 20839006 33611300 36972430 39661334 41678012 52097515 73944860 79322668 92431075 99153335 104195030 114614533 184862150 198306670 208390060 218137337 229229066 260487575 369724300 396613340 436274674 458458132 495766675 520975150 573072665 614750677 872549348 991533350 1041950300 1090686685 1146145330 1229501354 1983066700 2181373370 2292290660 2459002708 2865363325 3073753385 4362746740 5453433425 5730726650 6147506770 6762257447 10906866850 11461453300 12295013540 13524514894 15368766925 21813733700 27049029788 30737533850 33811287235 61475067700 67622574470 135245148940 169056436175 338112872350 676225744700