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1089534263400 = 23325211219263287
BaseRepresentation
bin11111101101011010100…
…11011000000001101000
310212011021111221021002200
433312231103120001220
5120322331232412100
62152305232300200
7141500450301642
oct17665523300150
93764244837080
101089534263400
11390083762200
121571aa9a1660
137b98677141b
143aa3b54b892
151d51bc96e00
hexfdad4d8068

1089534263400 has 432 divisors, whose sum is σ = 4233592053600. Its totient is φ = 250227014400.

The previous prime is 1089534263399. The next prime is 1089534263401. The reversal of 1089534263400 is 43624359801.

1089534263400 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 5 + 3 + 4 + 2 + 634 + 0 + 0 = 666.

1089534263400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1089534263399) and next prime (1089534263401).

It is a super-2 number, since 2×10895342634002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1089534263401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4006557 + ... + 4269843.

Almost surely, 21089534263400 is an apocalyptic number.

1089534263400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089534263400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116796026800).

1089534263400 is an abundant number, since it is smaller than the sum of its proper divisors (3144057790200).

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

1089534263400 is a wasteful number, since it uses less digits than its factorization.

1089534263400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263350 (or 263327 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1089534263400 in words is "one trillion, eighty-nine billion, five hundred thirty-four million, two hundred sixty-three thousand, four hundred".