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2027078425440 = 25335469231117
BaseRepresentation
bin11101011111110111010…
…010100001101101100000
321011210020120200101111000
4131133313102201231200
5231202424034103230
64151121005352000
7266310615215565
oct35376722415540
97153216611430
102027078425440
11711751a1a692
12288a40568600
131191ca573713
147017aca886c
1537ae03a4b60
hex1d7f74a1b60

2027078425440 has 96 divisors (see below), whose sum is σ = 7094774504160. Its totient is φ = 540554245632.

The previous prime is 2027078425429. The next prime is 2027078425441. The reversal of 2027078425440 is 445248707202.

2027078425440 is a `hidden beast` number, since 2 + 0 + 27 + 0 + 7 + 84 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027078425441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234611239 + ... + 234619878.

It is an arithmetic number, because the mean of its divisors is an integer number (73903901085).

Almost surely, 22027078425440 is an apocalyptic number.

2027078425440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027078425440 is an abundant number, since it is smaller than the sum of its proper divisors (5067696078720).

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

2027078425440 is a wasteful number, since it uses less digits than its factorization.

2027078425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469231141 (or 469231127 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 2027078425440 in words is "two trillion, twenty-seven billion, seventy-eight million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 469231117 938462234 1407693351 1876924468 2346155585 2815386702 3753848936 4223080053 4692311170 5630773404 7038466755 7507697872 8446160106 9384622340 11261546808 12669240159 14076933510 15015395744 16892320212 18769244680 21115400265 22523093616 25338480318 28153867020 33784640424 37538489360 42230800530 45046187232 50676960636 56307734040 63346200795 67569280848 75076978720 84461601060 101353921272 112615468080 126692401590 135138561696 168923202120 202707842544 225230936160 253384803180 337846404240 405415685088 506769606360 675692808480 1013539212720 2027078425440