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97262022208 = 2613178777841
BaseRepresentation
bin101101010010101000…
…1001010111001000000
3100022001100122122210211
41122211101022321000
53043143034202313
6112403114403504
710012146355651
oct1324521127100
9308040578724
1097262022208
113828096a93a
1216a24a30594
1392304b9a40
1449c9583528
1527e3ba1e3d
hex16a544ae40

97262022208 has 112 divisors (see below), whose sum is σ = 220356373104. Its totient is φ = 42196008960.

The previous prime is 97262022203. The next prime is 97262022223. The reversal of 97262022208 is 80222026279.

97262022208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 411602944 + 96850419264 = 20288^2 + 311208^2 .

It is not an unprimeable number, because it can be changed into a prime (97262022203) 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, 12400368 + ... + 12408208.

It is an arithmetic number, because the mean of its divisors is an integer number (1967467617).

Almost surely, 297262022208 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 97262022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110178186552).

97262022208 is an abundant number, since it is smaller than the sum of its proper divisors (123094350896).

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

97262022208 is a wasteful number, since it uses less digits than its factorization.

97262022208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 97262022208 in words is "ninety-seven billion, two hundred sixty-two million, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 877 884 1088 1754 1768 3508 3536 7016 7072 7841 11401 14032 14144 14909 15682 22802 28064 29818 31364 45604 56128 59636 62728 91208 101933 119272 125456 133297 182416 193817 203866 238544 250912 266594 364832 387634 407732 477088 501824 533188 729664 775268 815464 954176 1066376 1550536 1630928 1732861 2132752 3101072 3261856 3465722 4265504 6202144 6523712 6876557 6931444 8531008 12404288 13753114 13862888 27506228 27725776 55012456 55451552 89395241 110024912 110903104 116901469 178790482 220049824 233802938 357580964 440099648 467605876 715161928 935211752 1430323856 1519719097 1870423504 2860647712 3039438194 3740847008 5721295424 6078876388 7481694016 12157752776 24315505552 48631011104 97262022208