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40746038206127 = 1759137691429127
BaseRepresentation
bin10010100001110111011010…
…01000100001111010101111
312100021021122110102121011212
421100323231020201322233
520320040341240044002
6222354245504105035
711403542545133402
oct1120735510417257
9170237573377155
1040746038206127
1111a8a330358401
1246a0a3190517b
131997447a6bb97
14a0c193ca3d39
154a9d7093e352
hex250eed221eaf

40746038206127 has 32 divisors (see below), whose sum is σ = 44258408087040. Its totient is φ = 37369802603520.

The previous prime is 40746038206051. The next prime is 40746038206163. The reversal of 40746038206127 is 72160283064704.

It is not a de Polignac number, because 40746038206127 - 226 = 40745971097263 is a prime.

It is a super-2 number, since 2×407460382061272 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40746038206327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94736438 + ... + 95165564.

It is an arithmetic number, because the mean of its divisors is an integer number (1383075252720).

Almost surely, 240746038206127 is an apocalyptic number.

40746038206127 is a deficient number, since it is larger than the sum of its proper divisors (3512369880913).

40746038206127 is a wasteful number, since it uses less digits than its factorization.

40746038206127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430031.

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 40746038206127 in words is "forty trillion, seven hundred forty-six billion, thirty-eight million, two hundred six thousand, one hundred twenty-seven".

Divisors: 1 17 59 137 691 1003 2329 8083 11747 40769 94667 137411 429127 693073 1609339 5585353 7295159 25318493 58790399 94951001 296526757 430414381 999436783 3468633541 5040954869 17495078663 40624165709 58966770197 297416337271 690610817053 2396825776831 40746038206127