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97696869680 = 24541119324967
BaseRepresentation
bin101101011111100101…
…1111110110100110000
3100100011122220012101202
41122333023332310300
53100040344312210
6112514210550332
710026006455564
oct1327713766460
9310148805352
1097696869680
1138484377213
1216b265983a8
13929c60c837
144a2b2196a4
15281be4a9a5
hex16bf2fed30

97696869680 has 80 divisors (see below), whose sum is σ = 232889719104. Its totient is φ = 38092124160.

The previous prime is 97696869653. The next prime is 97696869689. The reversal of 97696869680 is 8696869679.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 97696869598 and 97696869607.

It is not an unprimeable number, because it can be changed into a prime (97696869689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3900557 + ... + 3925523.

Almost surely, 297696869680 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 97696869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444859552).

97696869680 is an abundant number, since it is smaller than the sum of its proper divisors (135192849424).

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

97696869680 is a wasteful number, since it uses less digits than its factorization.

97696869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 74.

The spelling of 97696869680 in words is "ninety-seven billion, six hundred ninety-six million, eight hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1193 1640 2386 3280 4772 5965 9544 11930 19088 23860 24967 47720 48913 49934 95440 97826 99868 124835 195652 199736 244565 249670 391304 399472 489130 499340 782608 978260 998680 1023647 1956520 1997360 2047294 3913040 4094588 5118235 8189176 10236470 16378352 20472940 29785631 40945880 59571262 81891760 119142524 148928155 238285048 297856310 476570096 595712620 1191425240 1221210871 2382850480 2442421742 4884843484 6106054355 9769686968 12212108710 19539373936 24424217420 48848434840 97696869680