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131860028544 = 2732914338263
BaseRepresentation
bin111101011001101111…
…0000101110010000000
3110121100112220111002220
41322303132011302000
54130022131403134
6140324202011040
712345420515046
oct1726336056200
9417315814086
10131860028544
1150a15604102
122167b7a6a80
13c58535183a
14654c52a396
15366b2c8149
hex1eb3785c80

131860028544 has 128 divisors (see below), whose sum is σ = 362627625600. Its totient is φ = 42402963456.

The previous prime is 131860028543. The next prime is 131860028567. The reversal of 131860028544 is 445820068131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 131860028496 and 131860028505.

It is not an unprimeable number, because it can be changed into a prime (131860028543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15953757 + ... + 15962019.

It is an arithmetic number, because the mean of its divisors is an integer number (2833028325).

Almost surely, 2131860028544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131860028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181313812800).

131860028544 is an abundant number, since it is smaller than the sum of its proper divisors (230767597056).

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

131860028544 is a wasteful number, since it uses less digits than its factorization.

131860028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 131860028544 in words is "one hundred thirty-one billion, eight hundred sixty million, twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1433 1856 2784 2866 3712 4299 5568 5732 8263 8598 11136 11464 16526 17196 22928 24789 33052 34392 41557 45856 49578 66104 68784 83114 91712 99156 124671 132208 137568 166228 183424 198312 239627 249342 264416 275136 332456 396624 479254 498684 528832 550272 664912 718881 793248 958508 997368 1057664 1329824 1437762 1586496 1917016 1994736 2659648 2875524 3172992 3834032 3989472 5319296 5751048 7668064 7978944 11502096 11840879 15336128 15957888 23004192 23681758 30672256 35522637 46008384 47363516 71045274 92016768 94727032 142090548 189454064 284181096 343385491 378908128 568362192 686770982 757816256 1030156473 1136724384 1373541964 1515632512 2060312946 2273448768 2747083928 4120625892 4546897536 5494167856 8241251784 10988335712 16482503568 21976671424 32965007136 43953342848 65930014272 131860028544