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400021726545 = 32572181415749
BaseRepresentation
bin1011101001000110010…
…01110010010101010001
31102020112012110012012200
411310203021302111101
523023221030222140
6503433433513413
740620624400500
oct5644311622521
91366465405180
10400021726545
11144714921921
126563a572869
132b94cca759c
141550b01a837
15a61378b030
hex5d23272551

400021726545 has 36 divisors (see below), whose sum is σ = 806574424500. Its totient is φ = 182867073984.

The previous prime is 400021726543. The next prime is 400021726579. The reversal of 400021726545 is 545627120004.

It is a happy number.

400021726545 is a `hidden beast` number, since 40 + 0 + 0 + 2 + 1 + 72 + 6 + 545 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306056794176 + 93964932369 = 553224^2 + 306537^2 .

It is not a de Polignac number, because 400021726545 - 21 = 400021726543 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400021726543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90705670 + ... + 90710079.

It is an arithmetic number, because the mean of its divisors is an integer number (22404845125).

Almost surely, 2400021726545 is an apocalyptic number.

400021726545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400021726545 is an abundant number, since it is smaller than the sum of its proper divisors (406552697955).

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

400021726545 is a wasteful number, since it uses less digits than its factorization.

400021726545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181415774 (or 181415764 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 400021726545 its reverse (545627120004), we get a palindrome (945648846549).

The spelling of 400021726545 in words is "four hundred billion, twenty-one million, seven hundred twenty-six thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 181415749 544247247 907078745 1269910243 1632741741 2721236235 3809730729 6349551215 8163708705 8889371701 11429192187 19048653645 26668115103 44446858505 57145960935 80004345309 133340575515 400021726545