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136829556450 = 23352234406749
BaseRepresentation
bin111111101101110101…
…1010101011011100010
3111002011212221122211000
41333123223111123202
54220211331301300
6142505244132430
712612523016436
oct1773353253342
9432155848730
10136829556450
1153035798a64
1222627b37116
13cb97aa15b2
1468a05389c6
15385c710c00
hex1fdbad56e2

136829556450 has 96 divisors (see below), whose sum is σ = 393434640000. Its totient is φ = 34901444160.

The previous prime is 136829556449. The next prime is 136829556547. The reversal of 136829556450 is 54655928631.

136829556450 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 29 + 5 + 564 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2172325 + ... + 2234424.

It is an arithmetic number, because the mean of its divisors is an integer number (4098277500).

Almost surely, 2136829556450 is an apocalyptic number.

136829556450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136829556450 is an abundant number, since it is smaller than the sum of its proper divisors (256605083550).

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

136829556450 is a wasteful number, since it uses less digits than its factorization.

136829556450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406793 (or 4406782 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 136829556450 in words is "one hundred thirty-six billion, eight hundred twenty-nine million, five hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10350 15525 31050 4406749 8813498 13220247 22033745 26440494 39660741 44067490 66101235 79321482 101355227 110168725 118982223 132202470 198303705 202710454 220337450 237964446 304065681 330506175 396607410 506776135 594911115 608131362 661012350 912197043 991518525 1013552270 1189822230 1520328405 1824394086 1983037050 2533880675 2736591129 2974555575 3040656810 4560985215 5067761350 5473182258 5949111150 7601642025 9121970430 13682955645 15203284050 22804926075 27365911290 45609852150 68414778225 136829556450