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97204347648 = 283344931321
BaseRepresentation
bin101101010000111010…
…1001010001100000000
3100021220100010111012000
41122201311022030000
53043033303111043
6112353254304000
710010546215362
oct1324165121400
9307810114160
1097204347648
1138251358111
1216a09658000
139221575395
1449c1a4cd32
1527ddaad2d3
hex16a1d4a300

97204347648 has 144 divisors (see below), whose sum is σ = 288099756000. Its totient is φ = 32328253440.

The previous prime is 97204347613. The next prime is 97204347661. The reversal of 97204347648 is 84674340279.

97204347648 is a `hidden beast` number, since 97 + 2 + 0 + 43 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97204347594 and 97204347603.

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, 3087828 + ... + 3119148.

It is an arithmetic number, because the mean of its divisors is an integer number (2000692750).

Almost surely, 297204347648 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 97204347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144049878000).

97204347648 is an abundant number, since it is smaller than the sum of its proper divisors (190895408352).

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

97204347648 is a wasteful number, since it uses less digits than its factorization.

97204347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31795 (or 31775 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 97204347648 in words is "ninety-seven billion, two hundred four million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 449 576 768 864 898 1152 1347 1728 1796 2304 2694 3456 3592 4041 5388 6912 7184 8082 10776 12123 14368 16164 21552 24246 28736 31321 32328 43104 48492 57472 62642 64656 86208 93963 96984 114944 125284 129312 172416 187926 193968 250568 258624 281889 344832 375852 387936 501136 517248 563778 751704 775872 845667 1002272 1034496 1127556 1503408 1551744 1691334 2004544 2255112 3006816 3103488 3382668 4009088 4510224 6013632 6765336 8018176 9020448 12027264 13530672 14063129 18040896 24054528 27061344 28126258 36081792 42189387 54122688 56252516 72163584 84378774 108245376 112505032 126568161 168757548 216490752 225010064 253136322 337515096 379704483 450020128 506272644 675030192 759408966 900040256 1012545288 1350060384 1518817932 1800080512 2025090576 2700120768 3037635864 3600161024 4050181152 5400241536 6075271728 8100362304 10800483072 12150543456 16200724608 24301086912 32401449216 48602173824 97204347648