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70668666300 = 2235216310331399
BaseRepresentation
bin100000111010000101…
…1100100010110111100
320202102000120012121010
41001310023210112330
52124212134310200
652244214435220
75051143516041
oct1016413442674
9222360505533
1070668666300
1127a7468aa51
1211842962b10
136882b3599b
1435c57551c8
151c89194150
hex10742e45bc

70668666300 has 144 divisors (see below), whose sum is σ = 206068755200. Its totient is φ = 18697858560.

The previous prime is 70668666281. The next prime is 70668666317. The reversal of 70668666300 is 366686607.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 70668666300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50513001 + ... + 50514399.

Almost surely, 270668666300 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 70668666300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103034377600).

70668666300 is an abundant number, since it is smaller than the sum of its proper divisors (135400088900).

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

70668666300 is a wasteful number, since it uses less digits than its factorization.

70668666300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 70668666300 in words is "seventy billion, six hundred sixty-eight million, six hundred sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1033 1399 1630 1956 2066 2445 2798 3099 3260 4075 4132 4197 4890 5165 5596 6198 6995 8150 8394 9780 10330 12225 12396 13990 15495 16300 16788 20660 20985 24450 25825 27980 30990 34975 41970 48900 51650 61980 69950 77475 83940 103300 104925 139900 154950 168379 209850 228037 309900 336758 419700 456074 505137 673516 684111 841895 912148 1010274 1140185 1368222 1445167 1683790 2020548 2280370 2525685 2736444 2890334 3367580 3420555 4209475 4335501 4560740 5051370 5700925 5780668 6841110 7225835 8418950 8671002 10102740 11401850 12628425 13682220 14451670 16837900 17102775 17342004 21677505 22803700 25256850 28903340 34205550 36129175 43355010 50513700 68411100 72258350 86710020 108387525 144516700 216775050 235562221 433550100 471124442 706686663 942248884 1177811105 1413373326 2355622210 2826746652 3533433315 4711244420 5889055525 7066866630 11778111050 14133733260 17667166575 23556222100 35334333150 70668666300