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97146928368 = 2433741777691
BaseRepresentation
bin101101001111001101…
…0000111110011110000
3100021202100002021202000
41122132122013303300
53042424103201433
6112343443454000
710006251160260
oct1323632076360
9307670067660
1097146928368
11382219aa166
12169b2387300
1392126bcc89
1449b81837a0
1527d8a1a113
hex169e687cf0

97146928368 has 160 divisors (see below), whose sum is σ = 318800785920. Its totient is φ = 27746012160.

The previous prime is 97146928343. The next prime is 97146928391. The reversal of 97146928368 is 86382964179.

97146928368 is a `hidden beast` number, since 97 + 1 + 469 + 2 + 83 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12627403 + ... + 12635093.

It is an arithmetic number, because the mean of its divisors is an integer number (1992504912).

Almost surely, 297146928368 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 97146928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159400392960).

97146928368 is an abundant number, since it is smaller than the sum of its proper divisors (221653857552).

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

97146928368 is a wasteful number, since it uses less digits than its factorization.

97146928368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11880 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 97146928368 in words is "ninety-seven billion, one hundred forty-six million, nine hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4177 7691 8354 12531 15382 16708 23073 25062 29239 30764 33416 37593 46146 50124 53837 58478 61528 66832 69219 75186 87717 92292 100248 107674 112779 116956 123056 138438 150372 161511 175434 184584 200496 207657 215348 225558 233912 263151 276876 300744 323022 350868 369168 415314 430696 451116 467824 484533 526302 553752 601488 646044 701736 789453 830628 861392 902232 969066 1052604 1107504 1292088 1403472 1453599 1578906 1661256 1804464 1938132 2105208 2584176 2907198 3157812 3322512 3876264 4210416 5814396 6315624 7752528 11628792 12631248 23257584 32125307 64250614 96375921 128501228 192751842 224877149 257002456 289127763 385503684 449754298 514004912 578255526 674631447 771007368 867383289 899508596 1156511052 1349262894 1542014736 1734766578 1799017192 2023894341 2313022104 2698525788 3469533156 3598034384 4047788682 4626044208 5397051576 6071683023 6939066312 8095577364 10794103152 12143366046 13878132624 16191154728 24286732092 32382309456 48573464184 97146928368