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97687488920096 = 2567239463741113
BaseRepresentation
bin10110001101100010100100…
…000100110111101000100000
3110210212211111001201221101202
4112031202210010313220200
5100301002434130420341
6543433002440420332
726401455020243105
oct2615424404675040
9423784431657352
1097687488920096
1129143038873639
12ab585a64776a8
134267b76a8711a
141a1a1577a4aac
15b46120aab79b
hex58d8a4137a20

97687488920096 has 96 divisors (see below), whose sum is σ = 196056470373120. Its totient is φ = 47901918468096.

The previous prime is 97687488920089. The next prime is 97687488920117. The reversal of 97687488920096 is 69002988478679.

It is a junction number, because it is equal to n+sod(n) for n = 97687488919996 and 97687488920023.

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 15 ways as a sum of consecutive naturals, for example, 2376052436 + ... + 2376093548.

It is an arithmetic number, because the mean of its divisors is an integer number (2042254899720).

Almost surely, 297687488920096 is an apocalyptic number.

It is an amenable number.

97687488920096 is an abundant number, since it is smaller than the sum of its proper divisors (98368981453024).

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

97687488920096 is a wasteful number, since it uses less digits than its factorization.

97687488920096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46066 (or 46058 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 83.

The spelling of 97687488920096 in words is "ninety-seven trillion, six hundred eighty-seven billion, four hundred eighty-eight million, nine hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 67 134 239 268 478 536 956 1072 1912 2144 3824 4637 7648 9274 16013 18548 32026 37096 41113 64052 74192 82226 128104 148384 164452 256208 310679 328904 512416 621358 657808 1108243 1242716 1315616 2216486 2485432 2754571 4432972 4970864 5509142 8865944 9826007 9941728 11018284 17731888 19652014 22036568 35463776 39304028 44073136 74252281 78608056 88146272 148504562 157216112 190640981 297009124 314432224 381281962 594018248 658342469 762563924 1188036496 1316684938 1525127848 2376072992 2633369876 3050255696 5266739752 6100511392 10533479504 12772945727 21066959008 25545891454 45563194459 51091782908 91126388918 102183565816 182252777836 204367131632 364505555672 408734263264 729011111344 1458022222688 3052734028753 6105468057506 12210936115012 24421872230024 48843744460048 97687488920096