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129545454420 = 2232514946710343
BaseRepresentation
bin111100010100110000…
…0101100001101010100
3110101101020121221022100
41320221200230031110
54110302114020140
6135302400402100
712234154123404
oct1705140541524
9411336557270
10129545454420
114aa38039328
1221134616330
13c2a6975b55
1463acd86804
153582ec8530
hex1e2982c354

129545454420 has 144 divisors (see below), whose sum is σ = 396477244800. Its totient is φ = 34236818688.

The previous prime is 129545454413. The next prime is 129545454443. The reversal of 129545454420 is 24454545921.

129545454420 is a `hidden beast` number, since 1 + 2 + 9 + 54 + 54 + 544 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12519769 + ... + 12530111.

It is an arithmetic number, because the mean of its divisors is an integer number (2753314200).

Almost surely, 2129545454420 is an apocalyptic number.

129545454420 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 129545454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198238622400).

129545454420 is an abundant number, since it is smaller than the sum of its proper divisors (266931790380).

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

129545454420 is a wasteful number, since it uses less digits than its factorization.

129545454420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 129545454420 in words is "one hundred twenty-nine billion, five hundred forty-five million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 467 596 745 894 934 1341 1401 1490 1788 1868 2235 2335 2682 2802 2980 4203 4470 4670 5364 5604 6705 7005 8406 8940 9340 10343 13410 14010 16812 20686 21015 26820 28020 31029 41372 42030 51715 62058 69583 84060 93087 103430 124116 139166 155145 186174 206860 208749 278332 310290 347915 372348 417498 465435 620580 626247 695830 834996 930870 1043745 1252494 1391660 1541107 1861740 2087490 2504988 3082214 3131235 4174980 4623321 4830181 6164428 6262470 7705535 9246642 9660362 12524940 13869963 14490543 15411070 18493284 19320724 23116605 24150905 27739926 28981086 30822140 43471629 46233210 48301810 55479852 57962172 69349815 72452715 86943258 92466420 96603620 138699630 144905430 173886516 217358145 277399260 289810860 434716290 719696969 869432580 1439393938 2159090907 2878787876 3598484845 4318181814 6477272721 7196969690 8636363628 10795454535 12954545442 14393939380 21590909070 25909090884 32386363605 43181818140 64772727210 129545454420