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97244832132 = 223274380911093
BaseRepresentation
bin101101010010000111…
…1100110000110000100
3100022000011022022110100
41122210033212012010
53043124134112012
6112401302124100
710011550302060
oct1324417460604
9308004268410
1097244832132
1138272199768
1216a1b120630
139229a7b5b6
1449c718aaa0
1527e24088dc
hex16a43e6184

97244832132 has 144 divisors (see below), whose sum is σ = 287844036480. Its totient is φ = 27102104064.

The previous prime is 97244832103. The next prime is 97244832169. The reversal of 97244832132 is 23123844279.

97244832132 is a `hidden beast` number, since 9 + 72 + 448 + 3 + 2 + 132 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8760778 + ... + 8771870.

It is an arithmetic number, because the mean of its divisors is an integer number (1998916920).

Almost surely, 297244832132 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 97244832132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143922018240).

97244832132 is an abundant number, since it is smaller than the sum of its proper divisors (190599204348).

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

97244832132 is a wasteful number, since it uses less digits than its factorization.

97244832132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11962 (or 11957 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 97244832132 in words is "ninety-seven billion, two hundred forty-four million, eight hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 809 903 1204 1548 1618 1806 2427 2709 3236 3612 4854 5418 5663 7281 9708 10836 11093 11326 14562 16989 22186 22652 29124 33279 33978 34787 44372 50967 66558 67956 69574 77651 99837 101934 104361 133116 139148 155302 199674 203868 208722 232953 243509 310604 313083 399348 417444 465906 476999 487018 626166 698859 730527 931812 953998 974036 1252332 1397718 1430997 1461054 1907996 2191581 2795436 2861994 2922108 3338993 4292991 4383162 5723988 6677986 8585982 8766324 8974237 10016979 13355972 17171964 17948474 20033958 26922711 30050937 35896948 40067916 53845422 60101874 62819659 80768133 107690844 120203748 125639318 161536266 188458977 251278636 323072532 376917954 385892191 565376931 753835908 771784382 1130753862 1157676573 1543568764 2261507724 2315353146 2701245337 3473029719 4630706292 5402490674 6946059438 8103736011 10804981348 13892118876 16207472022 24311208033 32414944044 48622416066 97244832132