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1067638295240 = 235112426450671
BaseRepresentation
bin11111000100101000011…
…00111000101011001000
310210001202112210211110222
433202110030320223020
5114443010400421430
62134244413525212
7140064033530036
oct17422414705310
93701675724428
101067638295240
11381867a91250
12152ab9aa3808
13798a734514a
143996152b556
151cb898679e5
hexf894338ac8

1067638295240 has 32 divisors (see below), whose sum is σ = 2620566725760. Its totient is φ = 388232107200.

The previous prime is 1067638295231. The next prime is 1067638295249. The reversal of 1067638295240 is 425928367601.

It is an interprime number because it is at equal distance from previous prime (1067638295231) and next prime (1067638295249).

It is a super-2 number, since 2×10676382952402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067638295249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1213224896 + ... + 1213225775.

It is an arithmetic number, because the mean of its divisors is an integer number (81892710180).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1067638295240 = 2135276590480, but 3⋅1067638295240 = 3202914885720 is not.

Almost surely, 21067638295240 is an apocalyptic number.

1067638295240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067638295240 is an abundant number, since it is smaller than the sum of its proper divisors (1552928430520).

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

1067638295240 is a wasteful number, since it uses less digits than its factorization.

1067638295240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426450693 (or 2426450689 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 1067638295240 in words is "one trillion, sixty-seven billion, six hundred thirty-eight million, two hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2426450671 4852901342 9705802684 12132253355 19411605368 24264506710 26690957381 48529013420 53381914762 97058026840 106763829524 133454786905 213527659048 266909573810 533819147620 1067638295240