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61500260151 = 3411538914633
BaseRepresentation
bin111001010001101100…
…110111111100110111
312212202001120220210000
4321101230313330313
52001423031311101
644130340002343
74305014405001
oct712154677467
9185661526700
1061500260151
112409a325790
12bb043903b3
135a515109a5
142d95c23371
1518ee2ee486
hexe51b37f37

61500260151 has 80 divisors (see below), whose sum is σ = 103268040480. Its totient is φ = 36156257280.

The previous prime is 61500260117. The next prime is 61500260201. The reversal of 61500260151 is 15106200516.

It is a happy number.

61500260151 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 0 + 2 + 601 + 51 = 666.

It is not a de Polignac number, because 61500260151 - 27 = 61500260023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61500260651) 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 79 ways as a sum of consecutive naturals, for example, 4195531 + ... + 4210163.

It is an arithmetic number, because the mean of its divisors is an integer number (1290850506).

Almost surely, 261500260151 is an apocalyptic number.

61500260151 is a deficient number, since it is larger than the sum of its proper divisors (41767780329).

61500260151 is a wasteful number, since it uses less digits than its factorization.

61500260151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 61500260151 its reverse (15106200516), we get a palindrome (76606460667).

The spelling of 61500260151 in words is "sixty-one billion, five hundred million, two hundred sixty thousand, one hundred fifty-one".

Divisors: 1 3 9 11 27 33 53 81 89 99 159 267 297 477 583 801 891 979 1431 1749 2403 2937 4293 4717 5247 7209 8811 14151 14633 15741 26433 42453 43899 47223 51887 79299 127359 131697 155661 160963 382077 395091 466983 482889 775549 1185273 1302337 1400949 1448667 2326647 3907011 4202847 4346001 6979941 8531039 11721033 13038003 14325707 20939823 25593117 35163099 42977121 62819469 69023861 76779351 105489297 128931363 207071583 230338053 386794089 621214749 691014159 759262471 1160382267 1863644247 2277787413 5590932741 6833362239 20500086717 61500260151