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85973388337958 = 211191318315601757
BaseRepresentation
bin10011100011000100111101…
…010001011010001100100110
3102021101222100020212002000112
4103203010331101122030212
542232041444403303313
6502503343535213022
724052241465206142
oct2343047521321446
9367358306762015
1085973388337958
1125437122438a70
129786275977172
1338c8342acb814
1417331c434c222
159e15724998a8
hex4e313d45a326

85973388337958 has 32 divisors (see below), whose sum is σ = 148099375779840. Its totient is φ = 37019222566560.

The previous prime is 85973388337943. The next prime is 85973388338009.

85973388337958 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85973388337958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290385 + ... + 13311372.

It is an arithmetic number, because the mean of its divisors is an integer number (4628105493120).

Almost surely, 285973388337958 is an apocalyptic number.

85973388337958 is a deficient number, since it is larger than the sum of its proper divisors (62125987441882).

85973388337958 is a wasteful number, since it uses less digits than its factorization.

85973388337958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15614972.

The product of its digits is 32920473600, while the sum is 86.

The spelling of 85973388337958 in words is "eighty-five trillion, nine hundred seventy-three billion, three hundred eighty-eight million, three hundred thirty-seven thousand, nine hundred fifty-eight".

Divisors: 1 2 11 19 22 38 209 418 13183 26366 145013 250477 290026 500954 2755247 5510494 15601757 31203514 171619327 296433383 343238654 592866766 3260767213 6521534426 205677962531 411355925062 2262457587841 3907881288089 4524915175682 7815762576178 42986694168979 85973388337958