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472361611137 = 313315389113733
BaseRepresentation
bin1101101111110101111…
…00100010111110000001
31200011020200201002022120
412313322330202332001
530214344033024022
61000555552354453
746061363306223
oct6677274427601
91604220632276
10472361611137
111723668a6909
1277668b45a29
133570b120220
1418c106c4413
15c4494ead5c
hex6dfaf22f81

472361611137 has 128 divisors (see below), whose sum is σ = 728744325120. Its totient is φ = 270114324480.

The previous prime is 472361611123. The next prime is 472361611153. The reversal of 472361611137 is 731116163274.

It is not a de Polignac number, because 472361611137 - 210 = 472361610113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472361611537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 644422023 + ... + 644422755.

It is an arithmetic number, because the mean of its divisors is an integer number (5693315040).

Almost surely, 2472361611137 is an apocalyptic number.

It is an amenable number.

472361611137 is a deficient number, since it is larger than the sum of its proper divisors (256382713983).

472361611137 is a wasteful number, since it uses less digits than its factorization.

472361611137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035.

The product of its digits is 127008, while the sum is 42.

The spelling of 472361611137 in words is "four hundred seventy-two billion, three hundred sixty-one million, six hundred eleven thousand, one hundred thirty-seven".

Divisors: 1 3 13 31 39 53 89 93 113 159 267 339 403 689 733 1157 1209 1469 1643 2067 2199 2759 3471 3503 4407 4717 4929 5989 8277 9529 10057 10509 14151 17967 21359 22723 28587 30171 35867 38849 45539 61321 64077 65237 68169 77857 82829 107601 116547 130741 136617 146227 183963 185659 195711 233571 248487 295399 311767 392223 438681 505037 533021 556977 848081 886197 935301 1076777 1204319 1515111 1599063 1900951 2022347 2413567 2544243 2567699 3230331 3457561 3612957 4052971 4389937 5702853 6067041 6929273 7240701 7371781 7703097 10372683 12158913 13169811 15656147 16523651 20787819 22115343 26290511 33380087 44948293 46968441 49570953 57069181 78871533 95833153 100140261 107184391 134844879 136088047 171207543 214807463 228525211 287499459 321553173 390704393 408264141 644422389 685575633 1172113179 1393397083 1769144611 2970827743 4180191249 5079157109 5307433833 8912483229 12111836183 15237471327 36335508549 157453870379 472361611137