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21131041456 = 247238370373
BaseRepresentation
bin10011101011100000…
…100001101010110000
32000112122210010110001
4103223200201222300
5321234021311311
613412451315344
71345434613600
oct235340415260
960478703401
1021131041456
118a63a16228
1241188abb54
131cb9b06635
1410465c4c00
1583a1d44c1
hex4eb821ab0

21131041456 has 60 divisors (see below), whose sum is σ = 47750729472. Its totient is φ = 9032386944.

The previous prime is 21131041447. The next prime is 21131041489. The reversal of 21131041456 is 65414013112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265086 + ... + 335458.

Almost surely, 221131041456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131041456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23875364736).

21131041456 is an abundant number, since it is smaller than the sum of its proper divisors (26619688016).

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

21131041456 is a wasteful number, since it uses less digits than its factorization.

21131041456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70778 (or 70765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 21131041456 its reverse (65414013112), we get a palindrome (86545054568).

The spelling of 21131041456 in words is "twenty-one billion, one hundred thirty-one million, forty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 383 392 766 784 1532 2681 3064 5362 6128 10724 18767 21448 37534 42896 70373 75068 140746 150136 281492 300272 492611 562984 985222 1125968 1970444 3448277 3940888 6896554 7881776 13793108 26952859 27586216 53905718 55172432 107811436 188670013 215622872 377340026 431245744 754680052 1320690091 1509360104 2641380182 3018720208 5282760364 10565520728 21131041456