Search a number
-
+
129200444496 = 243564751361
BaseRepresentation
bin111100001010011110…
…0100101010001010000
3110100111012102121200000
41320110330211101100
54104100303210441
6135204233530000
712222464441514
oct1702474452120
9410435377600
10129200444496
114a880312262
1221058b73900
13c250349076
146379218144
153562a782b6
hex1e14f25450

129200444496 has 120 divisors (see below), whose sum is σ = 375560587584. Its totient is φ = 42999413760.

The previous prime is 129200444479. The next prime is 129200444521. The reversal of 129200444496 is 694444002921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489856 + ... + 2541216.

Almost surely, 2129200444496 is an apocalyptic number.

129200444496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129200444496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187780293792).

129200444496 is an abundant number, since it is smaller than the sum of its proper divisors (246360143088).

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

129200444496 is an equidigital number, since it uses as much as digits as its factorization.

129200444496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52031 (or 52013 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 129200444496 in words is "one hundred twenty-nine billion, two hundred million, four hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 647 648 972 1294 1296 1941 1944 2588 3882 3888 5176 5823 7764 10352 11646 15528 17469 23292 31056 34938 46584 51361 52407 69876 93168 102722 104814 139752 154083 157221 205444 209628 279504 308166 314442 410888 419256 462249 616332 628884 821776 838512 924498 1232664 1257768 1386747 1848996 2465328 2515536 2773494 3697992 4160241 5546988 7395984 8320482 11093976 12480723 16640964 22187952 24961446 33230567 33281928 49922892 66461134 66563856 99691701 99845784 132922268 199383402 199691568 265844536 299075103 398766804 531689072 598150206 797533608 897225309 1196300412 1595067216 1794450618 2392600824 2691675927 3588901236 4785201648 5383351854 7177802472 8075027781 10766703708 14355604944 16150055562 21533407416 32300111124 43066814832 64600222248 129200444496