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1055491071264 = 25327523557079
BaseRepresentation
bin11110101110000000010…
…10111001110100100000
310201220101222122220210200
433113000022321310200
5114243121203240024
62124515204425200
7136154024034630
oct17270012716440
93656358586720
101055491071264
113776a4214073
121506899a8200
13786bc844156
143912c1486c0
151c6c82152c9
hexf5c02b9d20

1055491071264 has 72 divisors (see below), whose sum is σ = 3430345988160. Its totient is φ = 301568876928.

The previous prime is 1055491071253. The next prime is 1055491071301. The reversal of 1055491071264 is 4621701945501.

1055491071264 is a `hidden beast` number, since 1 + 0 + 5 + 549 + 10 + 71 + 26 + 4 = 666.

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

It is a super-2 number, since 2×10554910712642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261776524 + ... + 261780555.

It is an arithmetic number, because the mean of its divisors is an integer number (47643694280).

Almost surely, 21055491071264 is an apocalyptic number.

1055491071264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1055491071264 is an abundant number, since it is smaller than the sum of its proper divisors (2374854916896).

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

1055491071264 is a wasteful number, since it uses less digits than its factorization.

1055491071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523557102 (or 523557091 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1055491071264 in words is "one trillion, fifty-five billion, four hundred ninety-one million, seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 523557079 1047114158 1570671237 2094228316 3141342474 3664899553 4188456632 4712013711 6282684948 7329799106 8376913264 9424027422 10994698659 12565369896 14659598212 16753826528 18848054844 21989397318 25130739792 29319196424 32984095977 37696109688 43978794636 50261479584 58638392848 65968191954 75392219376 87957589272 117276785696 131936383908 150784438752 175915178544 263872767816 351830357088 527745535632 1055491071264