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2026006664400 = 243252562779629
BaseRepresentation
bin11101011110110111011…
…010000101010011010000
321011200110212222021201200
4131132313122011103100
5231143230201230100
64150422402031200
7266242222335045
oct35366732052320
97150425867650
102026006664400
11711251a42764
122887a1648500
131190894cc2a4
14700b87db1cc
1537a7b24ae00
hex1d7b76854d0

2026006664400 has 90 divisors (see below), whose sum is σ = 7030805917590. Its totient is φ = 540268442880.

The previous prime is 2026006664399. The next prime is 2026006664411. The reversal of 2026006664400 is 44666006202.

It can be written as a sum of positive squares in 3 ways, for example, as 30217564224 + 1995789100176 = 173832^2 + 1412724^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 281386215 + ... + 281393414.

It is an arithmetic number, because the mean of its divisors is an integer number (78120065751).

Almost surely, 22026006664400 is an apocalyptic number.

2026006664400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2026006664400 is an abundant number, since it is smaller than the sum of its proper divisors (5004799253190).

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

2026006664400 is a wasteful number, since it uses less digits than its factorization.

2026006664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562779653 (or 562779639 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2026006664400 in words is "two trillion, twenty-six billion, six million, six hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 562779629 1125559258 1688338887 2251118516 2813898145 3376677774 4502237032 5065016661 5627796290 6753355548 8441694435 9004474064 10130033322 11255592580 13506711096 14069490725 16883388870 20260066644 22511185160 25325083305 27013422192 28138981450 33766777740 40520133288 42208472175 45022370320 50650166610 56277962900 67533555480 81040266576 84416944350 101300333220 112555925800 126625416525 135067110960 168833888700 202600666440 225111851600 253250833050 337667777400 405201332880 506501666100 675335554800 1013003332200 2026006664400