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96820242460 = 22517225576551
BaseRepresentation
bin101101000101011101…
…1111010100000011100
3100020220120100220220221
41122022323322200130
53041241440224320
6112251213451124
76665203324234
oct1321273724034
9306816326827
1096820242460
1138074559207
1216920aa0aa4
13918cb0a7c6
144986a24cc4
1527b9ed93aa
hex168aefa81c

96820242460 has 72 divisors (see below), whose sum is σ = 216103646304. Its totient is φ = 36430156800.

The previous prime is 96820242419. The next prime is 96820242461. The reversal of 96820242460 is 6424202869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96820242461) 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 23 ways as a sum of consecutive naturals, for example, 14776185 + ... + 14782735.

It is an arithmetic number, because the mean of its divisors is an integer number (3001439532).

Almost surely, 296820242460 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 96820242460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108051823152).

96820242460 is an abundant number, since it is smaller than the sum of its proper divisors (119283403844).

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

96820242460 is a wasteful number, since it uses less digits than its factorization.

96820242460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 96820242460 in words is "ninety-six billion, eight hundred twenty million, two hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2557 2890 5114 5780 6551 10228 12785 13102 25570 26204 32755 43469 51140 65510 86938 111367 131020 173876 217345 222734 434690 445468 556835 738973 869380 1113670 1477946 1893239 2227340 2955892 3694865 3786478 7389730 7572956 9466195 14779460 16750907 18932390 33501814 37864780 67003628 83754535 167509070 284765419 335018140 569530838 1139061676 1423827095 2847654190 4841012123 5695308380 9682024246 19364048492 24205060615 48410121230 96820242460