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720970825104 = 2435792347277
BaseRepresentation
bin10100111110111010011…
…01011011110110010000
32112220221200210200200000
422133131031123312100
543303022012400404
61311113122530000
7103042220620215
oct12373515336620
92486850720600
10720970825104
11258842264a12
12b788b806900
1352cab0084aa
1426c76501b0c
1513b4a190339
hexa7dd35bd90

720970825104 has 120 divisors (see below), whose sum is σ = 2118934796160. Its totient is φ = 237281436288.

The previous prime is 720970825103. The next prime is 720970825117. The reversal of 720970825104 is 401528079027.

It is a happy number.

It is a super-2 number, since 2×7209708251042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 720970825104.

It is not an unprimeable number, because it can be changed into a prime (720970825103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866487 + ... + 1480790.

It is an arithmetic number, because the mean of its divisors is an integer number (17657789968).

Almost surely, 2720970825104 is an apocalyptic number.

It is an amenable number.

720970825104 is an abundant number, since it is smaller than the sum of its proper divisors (1397963971056).

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

720970825104 is a wasteful number, since it uses less digits than its factorization.

720970825104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347379 (or 2347361 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 720970825104 in words is "seven hundred twenty billion, nine hundred seventy million, eight hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 11376 12798 17064 19197 25596 34128 38394 51192 76788 102384 153576 307152 2347277 4694554 7041831 9389108 14083662 18778216 21125493 28167324 37556432 42250986 56334648 63376479 84501972 112669296 126752958 169003944 185434883 190129437 253505916 338007888 370869766 380258874 507011832 556304649 570388311 741739532 760517748 1014023664 1112609298 1140776622 1483479064 1521035496 1668913947 2225218596 2281553244 2966958128 3042070992 3337827894 4450437192 4563106488 5006741841 6675655788 8900874384 9126212976 10013483682 13351311576 15020225523 20026967364 26702623152 30040451046 40053934728 45060676569 60080902092 80107869456 90121353138 120161804184 180242706276 240323608368 360485412552 720970825104