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129705102032 = 24112127563937
BaseRepresentation
bin111100011001100000…
…1101100101011010000
3110101210101000212122212
41320303001230223100
54111114001231112
6135330302251252
712241133114342
oct1706301545320
9411711025585
10129705102032
115000a16aa00
1221179b86b28
13c300a720ac
1463c6263292
153592011522
hex1e3306cad0

129705102032 has 120 divisors (see below), whose sum is σ = 279193463808. Its totient is φ = 58326428160.

The previous prime is 129705101969. The next prime is 129705102103. The reversal of 129705102032 is 230201507921.

It is a self number, because there is not a number n which added to its sum of digits gives 129705102032.

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 23 ways as a sum of consecutive naturals, for example, 138425468 + ... + 138426404.

Almost surely, 2129705102032 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 129705102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139596731904).

129705102032 is an abundant number, since it is smaller than the sum of its proper divisors (149488361776).

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

129705102032 is a wasteful number, since it uses less digits than its factorization.

129705102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 129705102032 its reverse (230201507921), we get a palindrome (359906609953).

The spelling of 129705102032 in words is "one hundred twenty-nine billion, seven hundred five million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 127 176 242 254 484 508 563 937 968 1016 1126 1397 1874 1936 2032 2252 2794 3748 4504 5588 6193 7496 9008 10307 11176 12386 14992 15367 20614 22352 24772 30734 41228 49544 61468 68123 71501 82456 99088 113377 118999 122936 136246 143002 164912 226754 237998 245872 272492 286004 453508 475996 527531 544984 572008 786511 907016 951992 1055062 1089968 1144016 1308989 1573022 1814032 1903984 2110124 2617978 3146044 4220248 5235956 5802841 6292088 8440496 8651621 10471912 11605682 12584176 14398879 17303242 20943824 23211364 28797758 34606484 46422728 57595516 63831251 66996437 69212968 92845456 115191032 127662502 133992874 138425936 230382064 255325004 267985748 510650008 535971496 736960807 1021300016 1071942992 1473921614 2947843228 5895686456 8106568877 11791372912 16213137754 32426275508 64852551016 129705102032