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97282329536 = 26734619613
BaseRepresentation
bin101101010011001111…
…0101000101111000000
3100022002202212101020002
41122212132220233000
53043213234021121
6112405121535132
710012514105000
oct1324636505700
9308082771202
1097282329536
1138291380057
1216a2b7a44a8
13923477a002
1449cc14c000
1527e5863e0b
hex16a67a8bc0

97282329536 has 112 divisors (see below), whose sum is σ = 225636734400. Its totient is φ = 41597660160.

The previous prime is 97282329499. The next prime is 97282329559. The reversal of 97282329536 is 63592328279.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10115066 + ... + 10124678.

It is an arithmetic number, because the mean of its divisors is an integer number (2014613700).

Almost surely, 297282329536 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 97282329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112818367200).

97282329536 is an abundant number, since it is smaller than the sum of its proper divisors (128354404864).

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

97282329536 is an equidigital number, since it uses as much as digits as its factorization.

97282329536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10083 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 56.

The spelling of 97282329536 in words is "ninety-seven billion, two hundred eighty-two million, three hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 461 686 784 922 1372 1568 1844 2744 3136 3227 3688 5488 6454 7376 9613 10976 12908 14752 19226 21952 22589 25816 29504 38452 45178 51632 67291 76904 90356 103264 134582 153808 158123 180712 206528 269164 307616 316246 361424 471037 538328 615232 632492 722848 942074 1076656 1264984 1445696 1884148 2153312 2529968 3297259 3768296 4306624 4431593 5059936 6594518 7536592 8863186 10119872 13189036 15073184 17726372 26378072 30146368 31021151 35452744 52756144 62042302 70905488 105512288 124084604 141810976 211024576 217148057 248169208 283621952 434296114 496338416 868592228 992676832 1520036399 1737184456 1985353664 3040072798 3474368912 6080145596 6948737824 12160291192 13897475648 24320582384 48641164768 97282329536