Search a number
-
+
20975636880 = 24345111032857
BaseRepresentation
bin10011100010001111…
…101101000110010000
32000010211100202110000
4103202033231012100
5320424230340010
613345220410000
71341536654202
oct234217550620
960124322400
1020975636880
1189942224a0
124094846900
131c93864773
14102dad0772
1582b7387c0
hex4e23ed190

20975636880 has 400 divisors, whose sum is σ = 80274040704. Its totient is φ = 5033871360.

The previous prime is 20975636861. The next prime is 20975636897. The reversal of 20975636880 is 8863657902.

It is a happy number.

20975636880 is a `hidden beast` number, since 209 + 75 + 6 + 368 + 8 + 0 = 666.

It is a super-2 number, since 2×209756368802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7340412 + ... + 7343268.

Almost surely, 220975636880 is an apocalyptic number.

20975636880 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 20975636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40137020352).

20975636880 is an abundant number, since it is smaller than the sum of its proper divisors (59298403824).

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

20975636880 is a wasteful number, since it uses less digits than its factorization.

20975636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20975636880 in words is "twenty billion, nine hundred seventy-five million, six hundred thirty-six thousand, eight hundred eighty".