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21485388600 = 2332521343131163
BaseRepresentation
bin10100000000101000…
…010000001100111000
32001110100112211100100
4110000220100030320
5323000224413400
613511550235400
71360266534624
oct240050201470
961410484310
1021485388600
119125a3a505
1241b74b5b60
1320453523c0
14107b6a4184
1585b37b100
hex500a10338

21485388600 has 576 divisors, whose sum is σ = 80611090560. Its totient is φ = 5094835200.

The previous prime is 21485388593. The next prime is 21485388607. The reversal of 21485388600 is 688358412.

21485388600 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 5 + 38 + 8 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (21485388593) and next prime (21485388607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21485388607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131812119 + ... + 131812281.

It is an arithmetic number, because the mean of its divisors is an integer number (139949810).

Almost surely, 221485388600 is an apocalyptic number.

21485388600 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 21485388600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40305545280).

21485388600 is an abundant number, since it is smaller than the sum of its proper divisors (59125701960).

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

21485388600 is a wasteful number, since it uses less digits than its factorization.

21485388600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21485388600 in words is "twenty-one billion, four hundred eighty-five million, three hundred eighty-eight thousand, six hundred".