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97709405922 = 2344125992
BaseRepresentation
bin101101011111111101…
…1110011011011100010
3100100012112111002220000
41122333323303123202
53100102101442142
6112515335400430
710026221150442
oct1327773633342
9310175432800
1097709405922
1138490459947
1216b2a823116
1392a20ab92b
144a2cb60122
15281d0c514c
hex16bfef36e2

97709405922 has 90 divisors (see below), whose sum is σ = 224786996049. Its totient is φ = 31722369120.

The previous prime is 97709405891. The next prime is 97709405953. The reversal of 97709405922 is 22950490779.

97709405922 is a `hidden beast` number, since 9 + 7 + 7 + 0 + 9 + 40 + 592 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (97709405891) and next prime (97709405953).

It can be written as a sum of positive squares in 2 ways, for example, as 69779977281 + 27929428641 = 264159^2 + 167121^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=221031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 163120579 + ... + 163121177.

Almost surely, 297709405922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97709405922

97709405922 is an abundant number, since it is smaller than the sum of its proper divisors (127077590127).

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

97709405922 is an frugal number, since it uses more digits than its factorization.

97709405922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 97709405922 in words is "ninety-seven billion, seven hundred nine million, four hundred five thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 599 738 1107 1198 1681 1797 2214 3321 3362 3594 5043 5391 6642 10086 10782 15129 16173 24559 30258 32346 45387 48519 49118 73677 90774 97038 136161 147354 221031 272322 358801 442062 663093 717602 1006919 1076403 1326186 1989279 2013838 2152806 3020757 3229209 3978558 6041514 6458418 9062271 9687627 14710841 18124542 19375254 27186813 29062881 29421682 44132523 54373626 58125762 81560439 88265046 132397569 163120878 264795138 397192707 603144481 794385414 1191578121 1206288962 1809433443 2383156242 3618866886 5428300329 10856600658 16284900987 32569801974 48854702961 97709405922