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97221259538316 = 22351511481447263
BaseRepresentation
bin10110000110110000010110…
…101000111010111110001100
3110202020021001201220101100000
4112012300112220322332030
5100220333114420211231
6542434455143004300
726323001305006344
oct2606602650727614
9422207051811300
1097221259538316
1128a83339502481
12aaa216b139690
134232c0524c0a4
141a017696add24
15b38e34b176e6
hex586c16a3af8c

97221259538316 has 144 divisors (see below), whose sum is σ = 256717313169408. Its totient is φ = 32170661136000.

The previous prime is 97221259538309. The next prime is 97221259538471. The reversal of 97221259538316 is 61383595212279.

97221259538316 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 1 + 2 + 595 + 3 + 8 + 31 + 6 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 217145701 + ... + 217592963.

It is an arithmetic number, because the mean of its divisors is an integer number (1782759119232).

Almost surely, 297221259538316 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 97221259538316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128358656584704).

97221259538316 is an abundant number, since it is smaller than the sum of its proper divisors (159496053631092).

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

97221259538316 is a wasteful number, since it uses less digits than its factorization.

97221259538316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448914 (or 448900 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 97221259538316 in words is "ninety-seven trillion, two hundred twenty-one billion, two hundred fifty-nine million, five hundred thirty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 906 972 1359 1481 1812 2718 2962 4077 4443 5436 5924 8154 8886 12231 13329 16308 17772 24462 26658 36693 39987 48924 53316 73386 79974 119961 146772 159948 223631 239922 359883 447262 447263 479844 670893 719766 894524 894526 1341786 1341789 1439532 1789052 2012679 2683572 2683578 4025358 4025367 5367156 6038037 8050716 8050734 12076074 12076101 16101468 18114111 24152148 24152202 36228222 36228303 48304404 54342333 67536713 72456444 72456606 108684666 108684909 135073426 144913212 202610139 217369332 217369818 270146852 405220278 434739636 607830417 662396503 810440556 1215660834 1324793006 1823491251 1987189509 2431321668 2649586012 3646982502 3974379018 5470473753 5961568527 7293965004 7948758036 10940947506 11923137054 16411421259 17884705581 21881895012 23846274108 32822842518 35769411162 53654116743 65645685036 71538822324 100021871953 107308233486 160962350229 200043743906 214616466972 300065615859 321924700458 400087487812 600131231718 643849400916 900196847577 1200262463436 1800393695154 2700590542731 3600787390308 5401181085462 8101771628193 10802362170924 16203543256386 24305314884579 32407086512772 48610629769158 97221259538316