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20490670200 = 2335271113109313
BaseRepresentation
bin10011000101010101…
…101101000001111000
31221220000210220020010
4103011111231001320
5313431102421300
613225134101520
71323530552160
oct230525550170
957800726203
1020490670200
1187654a3890
123b7a34a8a0
131c17244230
14dc552d5a0
157edd8ea50
hex4c556d078

20490670200 has 768 divisors, whose sum is σ = 86344473600. Its totient is φ = 3881779200.

The previous prime is 20490670181. The next prime is 20490670243. The reversal of 20490670200 is 207609402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65465244 + ... + 65465556.

It is an arithmetic number, because the mean of its divisors is an integer number (112427700).

Almost surely, 220490670200 is an apocalyptic number.

20490670200 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 20490670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43172236800).

20490670200 is an abundant number, since it is smaller than the sum of its proper divisors (65853803400).

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

20490670200 is a wasteful number, since it uses less digits than its factorization.

20490670200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 20490670200 in words is "twenty billion, four hundred ninety million, six hundred seventy thousand, two hundred".