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138566737280 = 2751280916903
BaseRepresentation
bin1000000100001100111…
…0001001110110000000
3111020122221202120220202
42001003032021312000
54232241041043110
6143353502024332
713003545555536
oct2010316116600
9436587676822
10138566737280
11538473466a4
1222a318780a8
13100b396844a
1469c713c156
15390eeab0a5
hex2043389d80

138566737280 has 64 divisors (see below), whose sum is σ = 331306567200. Its totient is φ = 55419088896.

The previous prime is 138566737271. The next prime is 138566737289. The reversal of 138566737280 is 82737665831.

It is an interprime number because it is at equal distance from previous prime (138566737271) and next prime (138566737289).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138566737289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8189309 + ... + 8206211.

Almost surely, 2138566737280 is an apocalyptic number.

138566737280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138566737280 is an abundant number, since it is smaller than the sum of its proper divisors (192739829920).

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

138566737280 is a wasteful number, since it uses less digits than its factorization.

138566737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29731 (or 29719 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 138566737280 in words is "one hundred thirty-eight billion, five hundred sixty-six million, seven hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 12809 16903 25618 33806 51236 64045 67612 84515 102472 128090 135224 169030 204944 256180 270448 338060 409888 512360 540896 676120 819776 1024720 1081792 1352240 1639552 2049440 2163584 2704480 4098880 5408960 8197760 10817920 216510527 433021054 866042108 1082552635 1732084216 2165105270 3464168432 4330210540 6928336864 8660421080 13856673728 17320842160 27713347456 34641684320 69283368640 138566737280