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97680865344 = 26319127210839
BaseRepresentation
bin101101011111000111…
…0111011100001000000
3100100010112210002120120
41122332032323201000
53100022300142334
6112512435540240
710025423440656
oct1327616734100
9310115702516
1097680865344
1138476335997
1216b2115a680
1392991c800a
144a29050dd6
15281a838949
hex16be3bb840

97680865344 has 112 divisors (see below), whose sum is σ = 274193203200. Its totient is φ = 30603557376.

The previous prime is 97680865343. The next prime is 97680865351. The reversal of 97680865344 is 44356808679.

It is not an unprimeable number, because it can be changed into a prime (97680865343) by changing a digit.

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, 357877 + ... + 568715.

It is an arithmetic number, because the mean of its divisors is an integer number (2448153600).

Almost surely, 297680865344 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 97680865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137096601600).

97680865344 is an abundant number, since it is smaller than the sum of its proper divisors (176512337856).

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

97680865344 is a wasteful number, since it uses less digits than its factorization.

97680865344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211000 (or 210990 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 97680865344 in words is "ninety-seven billion, six hundred eighty million, eight hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 152 192 228 254 304 381 456 508 608 762 912 1016 1216 1524 1824 2032 2413 3048 3648 4064 4826 6096 7239 8128 9652 12192 14478 19304 24384 28956 38608 57912 77216 115824 154432 210839 231648 421678 463296 632517 843356 1265034 1686712 2530068 3373424 4005941 5060136 6746848 8011882 10120272 12017823 13493696 16023764 20240544 24035646 26776553 32047528 40481088 48071292 53553106 64095056 80329659 96142584 107106212 128190112 160659318 192285168 214212424 256380224 321318636 384570336 428424848 508754507 642637272 769140672 856849696 1017509014 1285274544 1526263521 1713699392 2035018028 2570549088 3052527042 4070036056 5141098176 6105054084 8140072112 12210108168 16280144224 24420216336 32560288448 48840432672 97680865344