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455153113352400 = 2435261193166319373
BaseRepresentation
bin110011101111101011001011…
…1101000111100100011010000
32012200120012202001022201011120
41213133112113220330203100
5434124212034004234100
64252010241555242240
7164604504311216211
oct14737262750744320
92180505661281146
10455153113352400
11122031395741101
124306b8808a9380
13166c79a6605b98
14805775765b408
15379489c5740a0
hex19df597a3c8d0

455153113352400 has 480 divisors, whose sum is σ = 1490559839588352. Its totient is φ = 118688307609600.

The previous prime is 455153113352387. The next prime is 455153113352417. The reversal of 455153113352400 is 4253311351554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23494189114 + ... + 23494208486.

Almost surely, 2455153113352400 is an apocalyptic number.

455153113352400 is a gapful number since it is divisible by the number (40) 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 455153113352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745279919794176).

455153113352400 is an abundant number, since it is smaller than the sum of its proper divisors (1035406726235952).

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

455153113352400 is a wasteful number, since it uses less digits than its factorization.

455153113352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21300 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 455153113352400 in words is "four hundred fifty-five trillion, one hundred fifty-three billion, one hundred thirteen million, three hundred fifty-two thousand, four hundred".