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252152464040000 = 26546303811601
BaseRepresentation
bin111001010101010011010010…
…000011000110000001000000
31020001210112120202121212222122
4321111103102003012001000
5231022231221243240000
62252141124241223412
7104053262056353236
oct7125232203060100
91201715522555878
10252152464040000
1173386294393067
1224344a06031b68
13aa90b4c1440b4
14463a35c7dc956
151e240e6c82085
hexe554d20c6040

252152464040000 has 70 divisors (see below), whose sum is σ = 625256161367574. Its totient is φ = 100860985600000.

The previous prime is 252152464039981. The next prime is 252152464040039. The reversal of 252152464040000 is 40464251252.

It can be written as a sum of positive squares in 5 ways, for example, as 185001781559296 + 67150682480704 = 13601536^2 + 8194552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3151865801 + ... + 3151945800.

Almost surely, 2252152464040000 is an apocalyptic number.

252152464040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252152464040000 is an abundant number, since it is smaller than the sum of its proper divisors (373103697327574).

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

252152464040000 is an frugal number, since it uses more digits than its factorization.

252152464040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303811633 (or 6303811608 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 252152464040000 in words is "two hundred fifty-two trillion, one hundred fifty-two billion, four hundred sixty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 6303811601 12607623202 25215246404 31519058005 50430492808 63038116010 100860985616 126076232020 157595290025 201721971232 252152464040 315190580050 403443942464 504304928080 630381160100 787976450125 1008609856160 1260762320200 1575952900250 2017219712320 2521524640400 3151905800500 3939882250625 5043049280800 6303811601000 7879764501250 10086098561600 12607623202000 15759529002500 25215246404000 31519058005000 50430492808000 63038116010000 126076232020000 252152464040000