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3542055264 = 2533112171993
BaseRepresentation
bin1101001100011111…
…0111100101100000
3100010212000001101000
43103013313211200
524223231232024
61343250312000
7153526654506
oct32307674540
910125001330
103542055264
111558441600
1282a288600
13445aa27b7
142585c8676
1515ae67cc9
hexd31f7960

3542055264 has 288 divisors, whose sum is σ = 12029562720. Its totient is φ = 1009704960.

The previous prime is 3542055241. The next prime is 3542055277. The reversal of 3542055264 is 4625502453.

3542055264 is a `hidden beast` number, since 3 + 5 + 42 + 0 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×35420552643 (a number of 30 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1776252 + ... + 1778244.

It is an arithmetic number, because the mean of its divisors is an integer number (41769315).

Almost surely, 23542055264 is an apocalyptic number.

3542055264 is a gapful number since it is divisible by the number (34) 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 3542055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014781360).

3542055264 is an abundant number, since it is smaller than the sum of its proper divisors (8487507456).

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

3542055264 is a wasteful number, since it uses less digits than its factorization.

3542055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 3542055264 is about 59515.1683522781. The cubic root of 3542055264 is about 1524.3514596444.

The spelling of 3542055264 in words is "three billion, five hundred forty-two million, fifty-five thousand, two hundred sixty-four".