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2106491570904 = 23372192915121529
BaseRepresentation
bin11110101001110100101…
…011101000101011011000
321110101020000112011101210
4132221310223220223120
5234003043320232104
64251413040543120
7305121552631200
oct36516453505330
97411200464353
102106491570904
117423a3637216
122a0303921aa0
13123844c33116
1473d51b1d400
1539bdc0a0989
hex1ea74ae8ad8

2106491570904 has 384 divisors, whose sum is σ = 6715293120000. Its totient is φ = 546845644800.

The previous prime is 2106491570899. The next prime is 2106491570921. The reversal of 2106491570904 is 4090751946012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97833612 + ... + 97855140.

It is an arithmetic number, because the mean of its divisors is an integer number (17487742500).

Almost surely, 22106491570904 is an apocalyptic number.

2106491570904 is a gapful number since it is divisible by the number (24) 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 2106491570904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357646560000).

2106491570904 is an abundant number, since it is smaller than the sum of its proper divisors (4608801549096).

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

2106491570904 is a wasteful number, since it uses less digits than its factorization.

2106491570904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21751 (or 21740 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 2106491570904 in words is "two trillion, one hundred six billion, four hundred ninety-one million, five hundred seventy thousand, nine hundred four".