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97083786241 = 1371211498497
BaseRepresentation
bin101101001101010100…
…1010000010000000001
3100021120221021100000201
41122122221100100001
53042311422124431
6112333310245201
710004553365401
oct1323251202001
9307527240021
1097083786241
113819a2a2592
12169951b6801
1392025b2a80
1449ada28801
1527d31e6461
hex169aa50401

97083786241 has 16 divisors (see below), whose sum is σ = 106527028608. Its totient is φ = 87934694400.

The previous prime is 97083786229. The next prime is 97083786257. The reversal of 97083786241 is 14268738079.

It is a cyclic number.

It is not a de Polignac number, because 97083786241 - 213 = 97083778049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97083786281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54496 + ... + 444001.

It is an arithmetic number, because the mean of its divisors is an integer number (6657939288).

Almost surely, 297083786241 is an apocalyptic number.

It is an amenable number.

97083786241 is a deficient number, since it is larger than the sum of its proper divisors (9443242367).

97083786241 is a wasteful number, since it uses less digits than its factorization.

97083786241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498792.

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 97083786241 in words is "ninety-seven billion, eighty-three million, seven hundred eighty-six thousand, two hundred forty-one".

Divisors: 1 13 71 211 923 2743 14981 194753 498497 6480461 35393287 105182867 460112731 1367377271 7467983557 97083786241