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97318600448 = 283739191109
BaseRepresentation
bin101101010100010100…
…0111111111100000000
3100022012022010010120012
41122220220333330000
53043302030203243
6112412455204052
710013434312046
oct1325050777400
9308168103505
1097318600448
11382aa8a3a13
1216a3b976628
13923c1393a4
1449d2cb0396
1527e8b2ad18
hex16a8a3ff00

97318600448 has 72 divisors (see below), whose sum is σ = 195165616800. Its totient is φ = 48432328704.

The previous prime is 97318600447. The next prime is 97318600553. The reversal of 97318600448 is 84400681379.

It is a junction number, because it is equal to n+sod(n) for n = 97318600396 and 97318600405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97318600447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87752918 + ... + 87754026.

Almost surely, 297318600448 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 97318600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97582808400).

97318600448 is an abundant number, since it is smaller than the sum of its proper divisors (97847016352).

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

97318600448 is a wasteful number, since it uses less digits than its factorization.

97318600448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 97318600448 in words is "ninety-seven billion, three hundred eighteen million, six hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 373 746 919 1109 1492 1838 2218 2984 3676 4436 5968 7352 8872 11936 14704 17744 23872 29408 35488 47744 58816 70976 95488 117632 141952 235264 283904 342787 413657 685574 827314 1019171 1371148 1654628 2038342 2742296 3309256 4076684 5484592 6618512 8153368 10969184 13237024 16306736 21938368 26474048 32613472 43876736 52948096 65226944 87753472 105896192 130453888 260907776 380150783 760301566 1520603132 3041206264 6082412528 12164825056 24329650112 48659300224 97318600448