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129696880000 = 275411314347
BaseRepresentation
bin111100011001010001…
…0010101010110000000
3110101202210120011011011
41320302202111112000
54111104400130000
6135325410130304
712241003201402
oct1706242252600
9411683504134
10129696880000
1150005564636
1221177280994
13c2cc15389c
1463c5122b72
15359143a2ba
hex1e32895580

129696880000 has 160 divisors (see below), whose sum is σ = 325752257160. Its totient is φ = 51416064000.

The previous prime is 129696879971. The next prime is 129696880007. The reversal of 129696880000 is 88696921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129696880007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9032827 + ... + 9047173.

Almost surely, 2129696880000 is an apocalyptic number.

129696880000 is a gapful number since it is divisible by the number (10) 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 129696880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162876128580).

129696880000 is an abundant number, since it is smaller than the sum of its proper divisors (196055377160).

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

129696880000 is an equidigital number, since it uses as much as digits as its factorization.

129696880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14494 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 129696880000 in words is "one hundred twenty-nine billion, six hundred ninety-six million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 128 160 200 226 250 320 400 452 500 565 625 640 800 904 1000 1130 1250 1600 1808 2000 2260 2500 2825 3200 3616 4000 4520 5000 5650 7232 8000 9040 10000 11300 14125 14347 14464 16000 18080 20000 22600 28250 28694 36160 40000 45200 56500 57388 70625 71735 72320 80000 90400 113000 114776 141250 143470 180800 226000 229552 282500 286940 358675 361600 452000 459104 565000 573880 717350 904000 918208 1130000 1147760 1434700 1621211 1793375 1808000 1836416 2260000 2295520 2869400 3242422 3586750 4520000 4591040 5738800 6484844 7173500 8106055 8966875 9040000 9182080 11477600 12969688 14347000 16212110 17933750 22955200 25939376 28694000 32424220 35867500 40530275 45910400 51878752 57388000 64848440 71735000 81060550 103757504 114776000 129696880 143470000 162121100 202651375 207515008 229552000 259393760 286940000 324242200 405302750 518787520 573880000 648484400 810605500 1013256875 1037575040 1147760000 1296968800 1621211000 2026513750 2593937600 3242422000 4053027500 5187875200 6484844000 8106055000 12969688000 16212110000 25939376000 32424220000 64848440000 129696880000