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97152560352 = 2533293877417
BaseRepresentation
bin101101001111010111…
…1100110110011100000
3100021202201200102101000
41122132233212303200
53042432023412402
6112344204312000
710006350065121
oct1323657466340
9307681612330
1097152560352
11382250a65a1
12169b4242600
139213912603
1449b8c0c048
1527d927dc1c
hex169ebe6ce0

97152560352 has 96 divisors (see below), whose sum is σ = 293132800800. Its totient is φ = 31267482624.

The previous prime is 97152560327. The next prime is 97152560357. The reversal of 97152560352 is 25306525179.

97152560352 is a `hidden beast` number, since 9 + 7 + 1 + 52 + 560 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 97152560298 and 97152560307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97152560357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913653 + ... + 1963764.

It is an arithmetic number, because the mean of its divisors is an integer number (3053466675).

Almost surely, 297152560352 is an apocalyptic number.

It is an amenable number.

97152560352 is an abundant number, since it is smaller than the sum of its proper divisors (195980240448).

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

97152560352 is a wasteful number, since it uses less digits than its factorization.

97152560352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877465 (or 3877451 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 97152560352 in words is "ninety-seven billion, one hundred fifty-two million, five hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 3877417 7754834 11632251 15509668 23264502 31019336 34896753 46529004 62038672 69793506 93058008 104690259 112445093 124077344 139587012 186116016 209380518 224890186 279174024 337335279 372232032 418761036 449780372 558348048 674670558 837522072 899560744 1012005837 1116696096 1349341116 1675044144 1799121488 2024011674 2698682232 3036017511 3350088288 3598242976 4048023348 5397364464 6072035022 8096046696 10794728928 12144070044 16192093392 24288140088 32384186784 48576280176 97152560352