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97930968576 = 293719479377
BaseRepresentation
bin101101100110100100…
…0111111111000000000
3100100202222101122201020
41123031020333320000
53101030311443301
6112553332305440
710034551332630
oct1331510777000
9310688348636
1097930968576
113859452a181
1216b90a72280
139308c756ac
144a503566c0
15283278d436
hex16cd23fe00

97930968576 has 160 divisors (see below), whose sum is σ = 313858364160. Its totient is φ = 26507575296.

The previous prime is 97930968571. The next prime is 97930968617. The reversal of 97930968576 is 67586903979.

It is a self number, because there is not a number n which added to its sum of digits gives 97930968576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97930968571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35401 + ... + 443976.

It is an arithmetic number, because the mean of its divisors is an integer number (1961614776).

Almost surely, 297930968576 is an apocalyptic number.

97930968576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97930968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156929182080).

97930968576 is an abundant number, since it is smaller than the sum of its proper divisors (215927395584).

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

97930968576 is a wasteful number, since it uses less digits than its factorization.

97930968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479424 (or 479408 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 69.

The spelling of 97930968576 in words is "ninety-seven billion, nine hundred thirty million, nine hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 204288 479377 958754 1438131 1917508 2876262 3355639 3835016 5752524 6711278 7670032 9108163 10066917 11505048 13422556 15340064 18216326 20133834 23010096 26845112 27324489 30680128 36432652 40267668 46020192 53690224 54648978 61360256 63757141 72865304 80535336 92040384 107380448 109297956 122720512 127514282 145730608 161070672 184080768 191271423 214760896 218595912 245441024 255028564 291461216 322141344 368161536 382542846 429521792 437191824 510057128 582922432 644282688 736323072 765085692 859043584 874383648 1020114256 1165844864 1288565376 1530171384 1718087168 1748767296 2040228512 2331689728 2577130752 3060342768 3497534592 4080457024 4663379456 5154261504 6120685536 6995069184 8160914048 12241371072 13990138368 16321828096 24482742144 32643656192 48965484288 97930968576