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129061936751748 = 2237111310744416979
BaseRepresentation
bin11101010110000110010010…
…111001001110010010000100
3121220222012102021111211222020
4131112012102321032102010
5113404022321302023443
61134254122451003140
736120263051515620
oct3526062271162204
9556865367454866
10129061936751748
1138139950727680
12125850995994b0
1357026470775a0
1423c28b991c180
15edc2e5602583
hex756192e4e484

129061936751748 has 96 divisors (see below), whose sum is σ = 404333899791360. Its totient is φ = 30943920896640.

The previous prime is 129061936751747. The next prime is 129061936751849. The reversal of 129061936751748 is 847157639160921.

It is a super-2 number, since 2×1290619367517482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129061936751747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5372196478 + ... + 5372220501.

It is an arithmetic number, because the mean of its divisors is an integer number (4211811456160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅129061936751748 = 258123873503496, but 3⋅129061936751748 = 387185810255244 is not.

Almost surely, 2129061936751748 is an apocalyptic number.

It is an amenable number.

129061936751748 is an abundant number, since it is smaller than the sum of its proper divisors (275271963039612).

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

129061936751748 is a wasteful number, since it uses less digits than its factorization.

129061936751748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744417017 (or 10744417015 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

The spelling of 129061936751748 in words is "one hundred twenty-nine trillion, sixty-one billion, nine hundred thirty-six million, seven hundred fifty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 10744416979 21488833958 32233250937 42977667916 64466501874 75210918853 118188586769 128933003748 139677420727 150421837706 225632756559 236377173538 279354841454 300843675412 354565760307 419032262181 451265513118 472754347076 558709682908 709131520614 827320107383 838064524362 902531026236 977741945089 1418263041228 1536451627997 1654640214766 1676129048724 1955483890178 2481960322149 2933225835267 3072903255994 3309280429532 3910967780356 4609354883991 4963920644298 5866451670534 6145806511988 9218709767982 9927841288596 10755161395979 11732903341068 18437419535964 21510322791958 32265484187937 43020645583916 64530968375874 129061936751748