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6996123900 = 2234521723472
BaseRepresentation
bin1101000010000000…
…00110000011111100
3200001120102220210000
412201000012003330
5103312001431100
63114115114300
7335241033453
oct64100060374
920046386700
106996123900
112a70147487
121432ba2990
138765798ac
144a522bb9a
152ae300900
hex1a10060fc

6996123900 has 540 divisors, whose sum is σ = 25601205168. Its totient is φ = 1643811840.

The previous prime is 6996123881. The next prime is 6996123961. The reversal of 6996123900 is 93216996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 148853677 + ... + 148853723.

Almost surely, 26996123900 is an apocalyptic number.

6996123900 is a gapful number since it is divisible by the number (60) 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 6996123900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800602584).

6996123900 is an abundant number, since it is smaller than the sum of its proper divisors (18605081268).

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

6996123900 is a wasteful number, since it uses less digits than its factorization.

6996123900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 6996123900 is about 83642.8353177963. The cubic root of 6996123900 is about 1912.5780360315.

The spelling of 6996123900 in words is "six billion, nine hundred ninety-six million, one hundred twenty-three thousand, nine hundred".