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676013025200 = 245273211109721
BaseRepresentation
bin10011101011001011000…
…01000010011110110000
32101121220111202211020212
421311211201002132300
542033433313301300
61234320041123252
766561142622252
oct11654541023660
92347814684225
10676013025200
11240771802487
12ab023489528
134b994a81426
1424a0d6d9cd2
15128b82da935
hex9d658427b0

676013025200 has 120 divisors (see below), whose sum is σ = 1654187305296. Its totient is φ = 265434624000.

The previous prime is 676013025197. The next prime is 676013025209. The reversal of 676013025200 is 2520310676.

It is a super-2 number, since 2×6760130252002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (676013025209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6106340 + ... + 6216060.

Almost surely, 2676013025200 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 676013025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827093652648).

676013025200 is an abundant number, since it is smaller than the sum of its proper divisors (978174280096).

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

676013025200 is a wasteful number, since it uses less digits than its factorization.

676013025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110023 (or 110012 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 676013025200 its reverse (2520310676), we get a palindrome (678533335876).

The spelling of 676013025200 in words is "six hundred seventy-six billion, thirteen million, twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 211 292 365 400 422 584 730 844 1055 1168 1460 1688 1825 2110 2920 3376 3650 4220 5275 5840 7300 8440 10550 14600 15403 16880 21100 29200 30806 42200 61612 77015 84400 109721 123224 154030 219442 246448 308060 385075 438884 548605 616120 770150 877768 1097210 1232240 1540300 1755536 2194420 2743025 3080600 4388840 5486050 6161200 8009633 8777680 10972100 16019266 21944200 23151131 32038532 40048165 43888400 46302262 64077064 80096330 92604524 115755655 128154128 160192660 185209048 200240825 231511310 320385320 370418096 400481650 463022620 578778275 640770640 800963300 926045240 1157556550 1601926600 1690032563 1852090480 2315113100 3203853200 3380065126 4630226200 6760130252 8450162815 9260452400 13520260504 16900325630 27040521008 33800651260 42250814075 67601302520 84501628150 135202605040 169003256300 338006512600 676013025200