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20135164137735 = 354124314614019
BaseRepresentation
bin1001001010000000101010…
…10011100101000100000111
32122021220101012122010111010
410211000111103211010013
510114343304004401420
6110453544450413303
74145501065155243
oct445002523450407
978256335563433
1020135164137735
116463303262299
1223123b5891233
13b3097902606a
144d8793513423
1524db662744e0
hex1250154e5107

20135164137735 has 96 divisors (see below), whose sum is σ = 33177854223360. Its totient is φ = 10427256448000.

The previous prime is 20135164137709. The next prime is 20135164137749. The reversal of 20135164137735 is 53773146153102.

It is not a de Polignac number, because 20135164137735 - 27 = 20135164137607 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5009991556 + ... + 5009995574.

It is an arithmetic number, because the mean of its divisors is an integer number (345602648160).

Almost surely, 220135164137735 is an apocalyptic number.

20135164137735 is a deficient number, since it is larger than the sum of its proper divisors (13042690085625).

20135164137735 is a wasteful number, since it uses less digits than its factorization.

20135164137735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 20135164137735 in words is "twenty trillion, one hundred thirty-five billion, one hundred sixty-four million, one hundred thirty-seven thousand, seven hundred thirty-five".

Divisors: 1 3 5 15 41 123 205 431 461 615 1293 1383 1681 2155 2305 4019 5043 6465 6915 8405 12057 17671 18901 20095 25215 53013 56703 60285 88355 94505 164779 198691 265065 283515 494337 596073 724511 774941 823895 993455 1732189 1852759 2173533 2324823 2471685 2980365 3622555 3874705 5196567 5558277 6755939 8146331 8660945 9263795 10867665 11624115 20267817 24438993 25982835 27791385 33779695 40731655 71019749 75963119 101339085 122194965 213059247 227889357 333999571 355098745 379815595 798539129 1001998713 1065296235 1139446785 1669997855 2395617387 2911809709 3114487879 3992695645 5009993565 8735429127 9343463637 11978086935 14559048545 15572439395 32740104289 43677145635 46717318185 98220312867 163700521445 491101564335 1342344275849 4027032827547 6711721379245 20135164137735