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34165620552 = 23373157111489
BaseRepresentation
bin11111110100011011…
…011111111101001000
310021012001122100111210
4133310123133331020
51024432344324202
623410115453120
72316440661120
oct376433377510
9107161570453
1034165620552
1113542669448
126755bb71a0
1332b63c462b
141921791c80
15d4e6b6c6c
hex7f46dff48

34165620552 has 128 divisors (see below), whose sum is σ = 100950220800. Its totient is φ = 9429350400.

The previous prime is 34165620551. The next prime is 34165620607. The reversal of 34165620552 is 25502656143.

It is a self number, because there is not a number n which added to its sum of digits gives 34165620552.

It is not an unprimeable number, because it can be changed into a prime (34165620551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968024 + ... + 2979512.

It is an arithmetic number, because the mean of its divisors is an integer number (788673600).

Almost surely, 234165620552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34165620552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50475110400).

34165620552 is an abundant number, since it is smaller than the sum of its proper divisors (66784600248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34165620552 is a wasteful number, since it uses less digits than its factorization.

34165620552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 34165620552 in words is "thirty-four billion, one hundred sixty-five million, six hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 571 651 744 868 1142 1302 1713 1736 2284 2604 3426 3997 4568 5208 6852 7994 11489 11991 13704 15988 17701 22978 23982 31976 34467 35402 45956 47964 53103 68934 70804 80423 91912 95928 106206 123907 137868 141608 160846 212412 241269 247814 275736 321692 356159 371721 424824 482538 495628 643384 712318 743442 965076 991256 1068477 1424636 1486884 1930152 2136954 2493113 2849272 2973768 4273908 4986226 6560219 7479339 8547816 9972452 13120438 14958678 19680657 19944904 26240876 29917356 39361314 45921533 52481752 59834712 78722628 91843066 137764599 157445256 183686132 203366789 275529198 367372264 406733578 551058396 610100367 813467156 1102116792 1220200734 1423567523 1626934312 2440401468 2847135046 4270702569 4880802936 5694270092 8541405138 11388540184 17082810276 34165620552