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21208271040 = 2633511223151
BaseRepresentation
bin10011110000000111…
…001000100011000000
32000202001002210112000
4103300013020203000
5321413304133130
613424250504000
71350363220665
oct236007104300
960661083460
1021208271040
118aa3574a30
12413a735000
131cccb06a08
141052969a6c
15841d8c260
hex4f01c88c0

21208271040 has 224 divisors, whose sum is σ = 81620075520. Its totient is φ = 5141376000.

The previous prime is 21208271027. The next prime is 21208271057. The reversal of 21208271040 is 4017280212.

It is a super-2 number, since 2×212082710402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21208270995 and 21208271013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16536 + ... + 206615.

Almost surely, 221208271040 is an apocalyptic number.

21208271040 is a gapful number since it is divisible by the number (20) 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 21208271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40810037760).

21208271040 is an abundant number, since it is smaller than the sum of its proper divisors (60411804480).

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

21208271040 is a wasteful number, since it uses less digits than its factorization.

21208271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223188 (or 223172 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 21208271040 in words is "twenty-one billion, two hundred eight million, two hundred seventy-one thousand, forty".