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97354896720 = 2435679536353
BaseRepresentation
bin101101010101011001…
…1011101010101010000
3100022021211102011200120
41122222303131111100
53043340323143340
6112420233150240
710014354653064
oct1325263352520
9308254364616
1097354896720
1138319334934
1216a4bb5b380
139246807183
1449d7a3baa4
1527ebdea4d0
hex16aacdd550

97354896720 has 160 divisors (see below), whose sum is σ = 306674335872. Its totient is φ = 25542967296.

The previous prime is 97354896703. The next prime is 97354896739. The reversal of 97354896720 is 2769845379.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15321064 + ... + 15327416.

Almost surely, 297354896720 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 97354896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153337167936).

97354896720 is an abundant number, since it is smaller than the sum of its proper divisors (209319439152).

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

97354896720 is a wasteful number, since it uses less digits than its factorization.

97354896720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 97354896720 in words is "ninety-seven billion, three hundred fifty-four million, eight hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 953 1005 1072 1340 1608 1906 2010 2680 2859 3216 3812 4020 4765 5360 5718 6353 7624 8040 9530 11436 12706 14295 15248 16080 19059 19060 22872 25412 28590 31765 38118 38120 45744 50824 57180 63530 63851 76236 76240 95295 101648 114360 127060 127702 152472 190590 191553 228720 254120 255404 304944 319255 381180 383106 425651 508240 510808 638510 762360 766212 851302 957765 1021616 1276953 1277020 1524720 1532424 1702604 1915530 2128255 2553906 2554040 3064848 3405208 3831060 4256510 5107812 5108080 6054409 6384765 6810416 7662120 8513020 10215624 12108818 12769530 15324240 17026040 18163227 20431248 24217636 25539060 30272045 34052080 36326454 48435272 51078120 60544090 72652908 90816135 96870544 102156240 121088180 145305816 181632270 242176360 290611632 363264540 405645403 484352720 726529080 811290806 1216936209 1453058160 1622581612 2028227015 2433872418 3245163224 4056454030 4867744836 6084681045 6490326448 8112908060 9735489672 12169362090 16225816120 19470979344 24338724180 32451632240 48677448360 97354896720