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132661461330657 = 3472947271633427
BaseRepresentation
bin11110001010011110100111…
…010001110010101011100001
3122101201022102100001021210000
4132022132213101302223201
5114342011133100040112
61150051500050530213
736641321452563510
oct3612364721625341
9571638370037700
10132661461330657
11392a7456497a56
1212a6681ab96969
135903bcaba721c
1424a8bc58a0677
151050c680a37dc
hex78a7a7472ae1

132661461330657 has 160 divisors (see below), whose sum is σ = 240161844510720. Its totient is φ = 71370793146240.

The previous prime is 132661461330649. The next prime is 132661461330691. The reversal of 132661461330657 is 756033164166231.

132661461330657 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 6 + 14 + 613 + 3 + 0 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 132661461330657 - 23 = 132661461330649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132661461330557) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 209117778 + ... + 209751204.

It is an arithmetic number, because the mean of its divisors is an integer number (1501011528192).

Almost surely, 2132661461330657 is an apocalyptic number.

It is an amenable number.

132661461330657 is a deficient number, since it is larger than the sum of its proper divisors (107500383180063).

132661461330657 is a wasteful number, since it uses less digits than its factorization.

132661461330657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633793 (or 633784 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 132661461330657 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, four hundred sixty-one million, three hundred thirty thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 27 29 47 63 81 87 141 189 203 261 271 329 423 567 609 783 813 987 1269 1363 1827 1897 2349 2439 2961 3807 4089 5481 5691 7317 7859 8883 9541 12267 12737 16443 17073 21951 23577 26649 28623 36801 38211 51219 55013 70731 85869 89159 110403 114633 153657 165039 212193 257607 267477 343899 369373 495117 633427 636579 772821 802431 1031697 1108119 1485351 1900281 2407293 2585611 3324357 4433989 4456053 5700843 7221879 7756833 9973071 13301967 17102529 18369383 23270499 29771069 29919213 39905901 51307587 55108149 69811497 89313207 119717703 128585681 165324447 171658717 208397483 209434491 267939621 359153109 385757043 495973341 514976151 625192449 803818863 863361001 1157271129 1201611019 1487920023 1544928453 1875577347 2411456589 2590083003 3471813387 3604833057 4634785359 4978102793 5626732041 6043527007 7770249009 8067959699 10415440161 10814499171 13904356077 14934308379 16880196123 18130581021 23310747027 24203879097 32443497513 34846719551 44802925137 54391743063 56475717893 69932241081 72611637291 97330492539 104540158653 134408775411 163175229189 169427153679 217834911873 233970831271 313620475959 403226326233 489525687567 508281461037 653504735619 701912493813 940861427877 1524844383111 1637795818897 2105737481439 2822584283631 4574533149333 4913387456691 6317212444317 14740162370073 18951637332951 44220487110219 132661461330657