Search a number
-
+
129534127998 = 231131677113309
BaseRepresentation
bin111100010100011010…
…1011110111101111110
3110101100110022111101020
41320220311132331332
54110241214043443
6135301313525010
712233655630642
oct1705065367576
9411313274336
10129534127998
114aa31702650
1221130873766
13c2a450b622
1463ab678c22
153581edc583
hex1e28d5ef7e

129534127998 has 128 divisors (see below), whose sum is σ = 300283822080. Its totient is φ = 36889776000.

The previous prime is 129534127993. The next prime is 129534128011. The reversal of 129534127998 is 899721435921.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129534127993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9726168 + ... + 9739476.

It is an arithmetic number, because the mean of its divisors is an integer number (2345967360).

Almost surely, 2129534127998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129534127998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141911040).

129534127998 is an abundant number, since it is smaller than the sum of its proper divisors (170749694082).

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

129534127998 is a wasteful number, since it uses less digits than its factorization.

129534127998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494.

The product of its digits is 9797760, while the sum is 60.

The spelling of 129534127998 in words is "one hundred twenty-nine billion, five hundred thirty-four million, one hundred twenty-seven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 67 71 93 134 142 186 201 213 341 402 426 682 737 781 1023 1474 1562 2046 2077 2201 2211 2343 4154 4402 4422 4686 4757 6231 6603 9514 12462 13206 13309 14271 22847 24211 26618 28542 39927 45694 48422 52327 68541 72633 79854 104654 137082 145266 146399 147467 156981 292798 294934 313962 412579 439197 442401 825158 878394 884802 891703 944939 1237737 1622137 1783406 1889878 2475474 2675109 2834817 3244274 4538369 4866411 5350218 5669634 9076738 9732822 9808733 10394329 13615107 19617466 20788658 27230214 27642793 29293109 29426199 31182987 55285586 58586218 58852398 62365974 63310913 82928379 87879327 126621826 165856758 175758654 189932739 304070723 322224199 379865478 608141446 644448398 696420043 912212169 966672597 1392840086 1824424338 1933345194 1962638303 2089260129 3925276606 4178520258 5887914909 11775829818 21589021333 43178042666 64767063999 129534127998