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132779013480 = 23345128931793
BaseRepresentation
bin111101110101000111…
…1101111010101101000
3110200201121010202110000
41323222033233111220
54133412411412410
6140555311023000
712410246664321
oct1735217572550
9420647122400
10132779013480
1151347323093
122189750aa60
13c6a08645c9
1465d85c9448
1536c1d04dc0
hex1eea3ef568

132779013480 has 160 divisors (see below), whose sum is σ = 446645291400. Its totient is φ = 35379154944.

The previous prime is 132779013457. The next prime is 132779013481. The reversal of 132779013480 is 84310977231.

132779013480 is a `hidden beast` number, since 1 + 3 + 2 + 77 + 90 + 13 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128991595716 + 3787417764 = 359154^2 + 61542^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132779013481) 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 39 ways as a sum of consecutive naturals, for example, 4160464 + ... + 4192256.

Almost surely, 2132779013480 is an apocalyptic number.

132779013480 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 132779013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223322645700).

132779013480 is an abundant number, since it is smaller than the sum of its proper divisors (313866277920).

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

132779013480 is a wasteful number, since it uses less digits than its factorization.

132779013480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33105 (or 33092 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 132779013480 in words is "one hundred thirty-two billion, seven hundred seventy-nine million, thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1289 1620 2578 3240 3867 5156 6445 7734 10312 11601 12890 15468 19335 23202 25780 30936 31793 34803 38670 46404 51560 58005 63586 69606 77340 92808 95379 104409 116010 127172 139212 154680 158965 174015 190758 208818 232020 254344 278424 286137 317930 348030 381516 417636 464040 476895 522045 572274 635860 696060 763032 835272 858411 953790 1044090 1144548 1271720 1392120 1430685 1716822 1907580 2088180 2289096 2575233 2861370 3433644 3815160 4176360 4292055 5150466 5722740 6867288 8584110 10300932 11445480 12876165 17168220 20601864 25752330 34336440 40981177 51504660 81962354 103009320 122943531 163924708 204905885 245887062 327849416 368830593 409811770 491774124 614717655 737661186 819623540 983548248 1106491779 1229435310 1475322372 1639247080 1844152965 2212983558 2458870620 2950644744 3319475337 3688305930 4425967116 4917741240 5532458895 6638950674 7376611860 8851934232 11064917790 13277901348 14753223720 16597376685 22129835580 26555802696 33194753370 44259671160 66389506740 132779013480