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85345611379 = 72137112311321
BaseRepresentation
bin100111101111011111…
…1101010111001110011
322011021212211021020121
41033132333222321303
52344241434031004
6103112432351111
76110641504300
oct1173677527163
9264255737217
1085345611379
1133216411026
121465a0a5497
138081771182
1441b8ac40a7
152347943854
hex13defeae73

85345611379 has 24 divisors (see below), whose sum is σ = 100102149648. Its totient is φ = 72548340480.

The previous prime is 85345611367. The next prime is 85345611401. The reversal of 85345611379 is 97311654358.

It is a de Polignac number, because none of the positive numbers 2k-85345611379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85345611179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7533039 + ... + 7544359.

It is an arithmetic number, because the mean of its divisors is an integer number (4170922902).

Almost surely, 285345611379 is an apocalyptic number.

85345611379 is a deficient number, since it is larger than the sum of its proper divisors (14756538269).

85345611379 is a wasteful number, since it uses less digits than its factorization.

85345611379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12588 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 85345611379 in words is "eighty-five billion, three hundred forty-five million, six hundred eleven thousand, three hundred seventy-nine".

Divisors: 1 7 49 137 959 1123 6713 7861 11321 55027 79247 153851 554729 1076957 1550977 7538699 10856839 12713483 75997873 88994381 622960667 1741747171 12192230197 85345611379