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97353449712 = 24326118316053
BaseRepresentation
bin101101010101010110…
…1111100000011110000
3100022021201200122202200
41122222231330003300
53043334440342322
6112420142143200
710014336445311
oct1325255740360
9308251618680
1097353449712
1138318536762
1216a4b581b00
13924641b65c
1449d7782608
1527ebc118ac
hex16aab7c0f0

97353449712 has 120 divisors (see below), whose sum is σ = 277117927008. Its totient is φ = 31896460800.

The previous prime is 97353449647. The next prime is 97353449741. The reversal of 97353449712 is 21794435379.

97353449712 is a `hidden beast` number, since 9 + 7 + 3 + 534 + 4 + 97 + 12 = 666.

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 23 ways as a sum of consecutive naturals, for example, 16080478 + ... + 16086530.

Almost surely, 297353449712 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 97353449712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138558963504).

97353449712 is an abundant number, since it is smaller than the sum of its proper divisors (179764477296).

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

97353449712 is a wasteful number, since it uses less digits than its factorization.

97353449712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7950 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 97353449712 in words is "ninety-seven billion, three hundred fifty-three million, four hundred forty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 1831 2196 2928 3662 4392 5493 6053 7324 8784 10986 12106 14648 16479 18159 21972 24212 29296 32958 36318 43944 48424 54477 65916 72636 87888 96848 108954 111691 131832 145272 217908 223382 263664 290544 335073 369233 435816 446764 670146 738466 871632 893528 1005219 1107699 1340292 1476932 1787056 2010438 2215398 2680584 2953864 3323097 4020876 4430796 5361168 5907728 6646194 8041752 8861592 11083043 13292388 16083504 17723184 22166086 26584776 33249129 44332172 53169552 66498258 88664344 99747387 132996516 177328688 199494774 265993032 398989548 531986064 676065623 797979096 1352131246 1595958192 2028196869 2704262492 4056393738 5408524984 6084590607 8112787476 10817049968 12169181214 16225574952 24338362428 32451149904 48676724856 97353449712