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97626104664 = 233114118149831
BaseRepresentation
bin101101011101011111…
…0000010001101011000
3100022222201201222001020
41122322332002031120
53044414240322124
6112503202122440
710024160124564
oct1327276021530
9308881658036
1097626104664
1138448433430
1216b06950420
13928aa63a4a
144a21a786a4
152815b1d379
hex16baf82358

97626104664 has 128 divisors (see below), whose sum is σ = 274259381760. Its totient is φ = 28702080000.

The previous prime is 97626104621. The next prime is 97626104713. The reversal of 97626104664 is 46640162679.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1934229 + ... + 1984059.

It is an arithmetic number, because the mean of its divisors is an integer number (2142651420).

Almost surely, 297626104664 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 97626104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137129690880).

97626104664 is an abundant number, since it is smaller than the sum of its proper divisors (176633277096).

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

97626104664 is a wasteful number, since it uses less digits than its factorization.

97626104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50073 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 97626104664 in words is "ninety-seven billion, six hundred twenty-six million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 181 246 264 328 362 451 492 543 724 902 984 1086 1353 1448 1804 1991 2172 2706 3608 3982 4344 5412 5973 7421 7964 10824 11946 14842 15928 22263 23892 29684 44526 47784 49831 59368 81631 89052 99662 149493 163262 178104 199324 244893 298986 326524 398648 489786 548141 597972 653048 979572 1096282 1195944 1644423 1959144 2043071 2192564 3288846 4086142 4385128 6129213 6577692 8172284 9019411 12258426 13155384 16344568 18038822 22473781 24516852 27058233 36077644 44947562 49033704 54116466 67421343 72155288 89895124 99213521 108232932 134842686 179790248 198427042 216465864 269685372 297640563 369795851 396854084 539370744 595281126 739591702 793708168 1109387553 1190562252 1479183404 2218775106 2381124504 2958366808 4067754361 4437550212 8135508722 8875100424 12203263083 16271017444 24406526166 32542034888 48813052332 97626104664