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97145406057 = 3783331316823
BaseRepresentation
bin101101001111001010…
…0010100001001101001
3100021202020012221112010
41122132110110021221
53042423210443212
6112343351110133
710006232220120
oct1323624241151
9307666187463
1097145406057
113822105a457
12169b1972349
1392122a90bb
1449b7ca8ab7
1527d881903c
hex169e514269

97145406057 has 32 divisors (see below), whose sum is σ = 149868730368. Its totient is φ = 54823032576.

The previous prime is 97145406041. The next prime is 97145406077. The reversal of 97145406057 is 75060454179.

It is not a de Polignac number, because 97145406057 - 24 = 97145406041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97145405997 and 97145406015.

It is not an unprimeable number, because it can be changed into a prime (97145406077) 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 31 ways as a sum of consecutive naturals, for example, 5766148 + ... + 5782970.

It is an arithmetic number, because the mean of its divisors is an integer number (4683397824).

Almost surely, 297145406057 is an apocalyptic number.

It is an amenable number.

97145406057 is a deficient number, since it is larger than the sum of its proper divisors (52723324311).

97145406057 is a wasteful number, since it uses less digits than its factorization.

97145406057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20229.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 97145406057 in words is "ninety-seven billion, one hundred forty-five million, four hundred six thousand, fifty-seven".

Divisors: 1 3 7 21 83 249 581 1743 3313 9939 16823 23191 50469 69573 117761 274979 353283 824937 1396309 1924853 4188927 5774559 9774163 29322489 55734599 167203797 390142193 1170426579 4625971717 13877915151 32381802019 97145406057