Search a number
-
+
132771408840 = 23325752687067
BaseRepresentation
bin111101110100111001…
…0101110101111001000
3110200201001211101211200
41323221302232233020
54133403440040330
6140554440024200
712410125232340
oct1735162565710
9420631741750
10132771408840
1151342aa9664
1221894a62060
13c69c101115
1465d75a9d20
1536c1301a60
hex1ee9caebc8

132771408840 has 96 divisors (see below), whose sum is σ = 493150956480. Its totient is φ = 30347750016.

The previous prime is 132771408823. The next prime is 132771408851. The reversal of 132771408840 is 48804177231.

132771408840 is a `hidden beast` number, since 132 + 7 + 71 + 408 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26341014 + ... + 26346053.

It is an arithmetic number, because the mean of its divisors is an integer number (5136989130).

Almost surely, 2132771408840 is an apocalyptic number.

132771408840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132771408840 is an abundant number, since it is smaller than the sum of its proper divisors (360379547640).

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

132771408840 is a wasteful number, since it uses less digits than its factorization.

132771408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52687091 (or 52687084 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 132771408840 in words is "one hundred thirty-two billion, seven hundred seventy-one million, four hundred eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 52687067 105374134 158061201 210748268 263435335 316122402 368809469 421496536 474183603 526870670 632244804 737618938 790306005 948367206 1053741340 1106428407 1264489608 1475237876 1580612010 1844047345 1896734412 2107482680 2212856814 2370918015 2950475752 3161224020 3319285221 3688094690 3793468824 4425713628 4741836030 5532142035 6322448040 6638570442 7376189380 8851427256 9483672060 11064284070 13277140884 14752378760 16596426105 18967344120 22128568140 26554281768 33192852210 44257136280 66385704420 132771408840