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96409095356 = 22729472699391
BaseRepresentation
bin101100111001001101…
…1100000110010111100
3100012211220201111010102
41121302123200302330
53034421212022411
6112142325300232
76652051534520
oct1316233406274
9305756644112
1096409095356
113798346a312
1216827264678
1391258954b2
14494819bd80
152793d72d3b
hex16726e0cbc

96409095356 has 96 divisors (see below), whose sum is σ = 204490137600. Its totient is φ = 38895333120.

The previous prime is 96409095281. The next prime is 96409095373. The reversal of 96409095356 is 65359090469.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10261421 + ... + 10270811.

It is an arithmetic number, because the mean of its divisors is an integer number (2130105600).

Almost surely, 296409095356 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 96409095356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102245068800).

96409095356 is an abundant number, since it is smaller than the sum of its proper divisors (108081042244).

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

96409095356 is a wasteful number, since it uses less digits than its factorization.

96409095356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 56.

The spelling of 96409095356 in words is "ninety-six billion, four hundred nine million, ninety-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 269 329 406 538 658 812 1076 1316 1363 1883 2726 3766 5452 7532 7801 9391 9541 12643 15602 18782 19082 25286 31204 37564 38164 50572 54607 65737 88501 109214 131474 177002 218428 262948 272339 354004 366647 441377 544678 733294 882754 1089356 1466588 1765508 1906373 2526179 2566529 3089639 3812746 5052358 5133058 6179278 7625492 10104716 10266116 12358556 12799933 17683253 25599866 35366506 51199732 70733012 73259191 89599531 118730413 146518382 179199062 237460826 293036764 358398124 474921652 512814337 831112891 1025628674 1662225782 2051257348 3324451564 3443181977 6886363954 13772727908 24102273839 48204547678 96409095356