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97245896202 = 232713108754617
BaseRepresentation
bin101101010010001001…
…1101001111000001010
3100022000020022101002100
41122210103221320022
53043124422134302
6112401341014230
710011562323240
oct1324423517012
9308006271070
1097245896202
1138272856164
1216a1b554376
13922a061a20
1449c7386790
1527e2568d1c
hex16a44e9e0a

97245896202 has 96 divisors (see below), whose sum is σ = 259565709312. Its totient is φ = 25623205632.

The previous prime is 97245896201. The next prime is 97245896213. The reversal of 97245896202 is 20269854279.

97245896202 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 5 + 8 + 9 + 620 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (97245896201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1753198 + ... + 1807814.

It is an arithmetic number, because the mean of its divisors is an integer number (2703809472).

Almost surely, 297245896202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97245896202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129782854656).

97245896202 is an abundant number, since it is smaller than the sum of its proper divisors (162319813110).

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

97245896202 is a wasteful number, since it uses less digits than its factorization.

97245896202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55732 (or 55729 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97245896202 in words is "ninety-seven billion, two hundred forty-five million, eight hundred ninety-six thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1087 1638 2174 3261 6522 7609 9783 14131 15218 19566 22827 28262 42393 45654 54617 68481 84786 98917 109234 127179 136962 163851 197834 254358 296751 327702 382319 491553 593502 710021 764638 890253 983106 1146957 1420042 1780506 2130063 2293914 3440871 4260126 4970147 6390189 6881742 9940294 12780378 14910441 29820882 44731323 59368679 89462646 118737358 178106037 356212074 415580753 534318111 771792827 831161506 1068636222 1246742259 1543585654 2315378481 2493484518 3740226777 4630756962 5402549789 6946135443 7480453554 10805099578 13892270886 16207649367 32415298734 48622948101 97245896202