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690103069920 = 253351153274007
BaseRepresentation
bin10100000101011010101…
…10010010110011100000
32102222021110200020222000
422002231112102303200
542301312341214140
61245010131444000
7100600253210655
oct12025526226340
92388243606860
10690103069920
11246742212640
12b18b6156600
13500cbc296b4
1425588b31c2c
1512e402a8a30
hexa0ad592ce0

690103069920 has 384 divisors, whose sum is σ = 2684664622080. Its totient is φ = 164140554240.

The previous prime is 690103069847. The next prime is 690103069937. The reversal of 690103069920 is 29960301096.

It is a happy number.

It is a super-2 number, since 2×6901030699202 (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2381557 + ... + 2655563.

It is an arithmetic number, because the mean of its divisors is an integer number (6991314120).

Almost surely, 2690103069920 is an apocalyptic number.

690103069920 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 690103069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342332311040).

690103069920 is an abundant number, since it is smaller than the sum of its proper divisors (1994561552160).

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

690103069920 is a wasteful number, since it uses less digits than its factorization.

690103069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274095 (or 274081 counting only the distinct ones).

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

The spelling of 690103069920 in words is "six hundred ninety billion, one hundred three million, sixty-nine thousand, nine hundred twenty".