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127493097696 = 25321583279649
BaseRepresentation
bin111011010111100101…
…1100100100011100000
3110012002012202102011100
41312233023210203200
54042101213111241
6134323003314400
712132253310166
oct1665713444340
9405065672140
10127493097696
114a084591348
122086121ba00
13c03a6c97a3
14625657d236
1534b2c229b6
hex1daf2e48e0

127493097696 has 72 divisors (see below), whose sum is σ = 362788826400. Its totient is φ = 42470701056.

The previous prime is 127493097691. The next prime is 127493097727. The reversal of 127493097696 is 696790394721.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127493097691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316080 + ... + 595728.

It is an arithmetic number, because the mean of its divisors is an integer number (5038733700).

Almost surely, 2127493097696 is an apocalyptic number.

127493097696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127493097696 is an abundant number, since it is smaller than the sum of its proper divisors (235295728704).

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

127493097696 is a wasteful number, since it uses less digits than its factorization.

127493097696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281248 (or 281237 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 127493097696 in words is "one hundred twenty-seven billion, four hundred ninety-three million, ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1583 3166 4749 6332 9498 12664 14247 18996 25328 28494 37992 50656 56988 75984 113976 151968 227952 279649 455904 559298 838947 1118596 1677894 2237192 2516841 3355788 4474384 5033682 6711576 8948768 10067364 13423152 20134728 26846304 40269456 80538912 442684367 885368734 1328053101 1770737468 2656106202 3541474936 3984159303 5312212404 7082949872 7968318606 10624424808 14165899744 15936637212 21248849616 31873274424 42497699232 63746548848 127493097696