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96546884532 = 223761149126457
BaseRepresentation
bin101100111101010100…
…1001000101110110100
3100020012111222220100020
41121322221020232310
53040212000301112
6112204130445140
76655343656320
oct1317251105664
9306174886306
1096546884532
1137a4422136a
12168654337b0
1391482aa457
14495c5c8980
1527a0ede48c
hex167aa48bb4

96546884532 has 96 divisors (see below), whose sum is σ = 263437305600. Its totient is φ = 26950302720.

The previous prime is 96546884431. The next prime is 96546884549. The reversal of 96546884532 is 23548864569.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 700248 + ... + 826704.

It is an arithmetic number, because the mean of its divisors is an integer number (2744138600).

Almost surely, 296546884532 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 96546884532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131718652800).

96546884532 is an abundant number, since it is smaller than the sum of its proper divisors (166890421068).

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

96546884532 is a wasteful number, since it uses less digits than its factorization.

96546884532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126681 (or 126679 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 96546884532 in words is "ninety-six billion, five hundred forty-six million, eight hundred eighty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 149 183 244 298 366 427 447 596 732 854 894 1043 1281 1708 1788 2086 2562 3129 4172 5124 6258 9089 12516 18178 27267 36356 54534 63623 109068 126457 127246 190869 252914 254492 379371 381738 505828 758742 763476 885199 1517484 1770398 2655597 3540796 5311194 7713877 10622388 15427754 18842093 23141631 30855508 37684186 46283262 53997139 56526279 75368372 92566524 107994278 113052558 131894651 161991417 215988556 226105116 263789302 323982834 395683953 527578604 647965668 791367906 1149367673 1582735812 2298735346 3448103019 4597470692 6896206038 8045573711 13792412076 16091147422 24136721133 32182294844 48273442266 96546884532