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129394199772 = 223217415998609
BaseRepresentation
bin111100010000001111…
…1101100110011011100
3110100222201000101221100
41320200133230303130
54104444403343042
6135235354433100
712230336356635
oct1704037546334
9410881011840
10129394199772
114a96a71a492
12210b1a32790
13c281527b66
146396c5288c
153574a9c24c
hex1e207eccdc

129394199772 has 144 divisors (see below), whose sum is σ = 355400136000. Its totient is φ = 39533445120.

The previous prime is 129394199719. The next prime is 129394199821. The reversal of 129394199772 is 277991493921.

129394199772 is a `hidden beast` number, since 1 + 293 + 94 + 199 + 7 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15025804 + ... + 15034412.

It is an arithmetic number, because the mean of its divisors is an integer number (2468056500).

Almost surely, 2129394199772 is an apocalyptic number.

129394199772 is a gapful number since it is divisible by the number (12) 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 129394199772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177700068000).

129394199772 is an abundant number, since it is smaller than the sum of its proper divisors (226005936228).

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

129394199772 is a wasteful number, since it uses less digits than its factorization.

129394199772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9271 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 129394199772 in words is "one hundred twenty-nine billion, three hundred ninety-four million, one hundred ninety-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 599 612 697 738 1198 1394 1476 1797 2091 2396 2788 3594 4182 5391 6273 7188 8364 8609 10183 10782 12546 17218 20366 21564 24559 25092 25827 30549 34436 40732 49118 51654 61098 73677 77481 91647 98236 103308 122196 146353 147354 154962 183294 221031 292706 294708 309924 352969 366588 417503 439059 442062 585412 705938 835006 878118 884124 1058907 1252509 1317177 1411876 1670012 1756236 2117814 2505018 2634354 3176721 3757527 4235628 5010036 5156791 5268708 6000473 6353442 7515054 10313582 12000946 12706884 15030108 15470373 18001419 20627164 24001892 30940746 36002838 46411119 54004257 61881492 72005676 87665447 92822238 108008514 175330894 185644476 211428431 216017028 262996341 350661788 422856862 525992682 634285293 788989023 845713724 1051985364 1268570586 1577978046 1902855879 2537141172 3155956092 3594283327 3805711758 7188566654 7611423516 10782849981 14377133308 21565699962 32348549943 43131399924 64697099886 129394199772