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96444868156 = 227138910727823
BaseRepresentation
bin101100111010010001…
…1111110011000111100
3100012221102000221011221
41121310203332120330
53040004341240111
6112150044123124
76652664565430
oct1316443763074
9305842027157
1096444868156
11379a1682a0a
12168372364a4
13913010bc30
14494cc309c0
15279708c371
hex16748fe63c

96444868156 has 96 divisors (see below), whose sum is σ = 212032235520. Its totient is φ = 37371400704.

The previous prime is 96444868147. The next prime is 96444868159. The reversal of 96444868156 is 65186844469.

It is a happy number.

96444868156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×964448681562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96444868094 and 96444868103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96444868159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3452461 + ... + 3480283.

It is an arithmetic number, because the mean of its divisors is an integer number (2208669120).

Almost surely, 296444868156 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 96444868156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106016117760).

96444868156 is an abundant number, since it is smaller than the sum of its proper divisors (115587367364).

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

96444868156 is a wasteful number, since it uses less digits than its factorization.

96444868156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28043 (or 28041 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 96444868156 in words is "ninety-six billion, four hundred forty-four million, eight hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 107 178 182 214 356 364 428 623 749 1157 1246 1391 1498 2314 2492 2782 2996 4628 5564 8099 9523 9737 16198 19046 19474 27823 32396 38092 38948 55646 66661 111292 123799 133322 194761 247598 266644 361699 389522 495196 723398 779044 866593 1446796 1733186 2476247 2531893 2977061 3466372 4952494 5063786 5954122 9904988 10127572 11908244 17333729 20839427 32191211 34667458 38701793 41678854 64382422 69334916 77403586 83357708 128764844 154807172 225338477 264958429 270912551 450676954 529916858 541825102 901353908 1059833716 1083650204 1854709003 3444459577 3709418006 6888919154 7418836012 13777838308 24111217039 48222434078 96444868156