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690148220832 = 253372234353311
BaseRepresentation
bin10100000101100000000…
…10100001111110100000
32102222101121122011101000
422002300002201332200
542301410421031312
61245014423312000
7100601342041200
oct12026002417640
92388347564330
10690148220832
11246765751144
12b19092ab600
13501083a7905
1425590b26400
1512e44226adc
hexa0b00a1fa0

690148220832 has 1152 divisors, whose sum is σ = 2555569336320. Its totient is φ = 180168468480.

The previous prime is 690148220803. The next prime is 690148220837. The reversal of 690148220832 is 238022841096.

690148220832 is a `hidden beast` number, since 6 + 90 + 1 + 482 + 2 + 0 + 83 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (690148220837) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2219125957 + ... + 2219126267.

It is an arithmetic number, because the mean of its divisors is an integer number (2218376160).

Almost surely, 2690148220832 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 690148220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277784668160).

690148220832 is an abundant number, since it is smaller than the sum of its proper divisors (1865421115488).

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

690148220832 is a wasteful number, since it uses less digits than its factorization.

690148220832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 690148220832 in words is "six hundred ninety billion, one hundred forty-eight million, two hundred twenty thousand, eight hundred thirty-two".