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690001100096 = 26721123385847
BaseRepresentation
bin10100000101001110100…
…01010011110101000000
32102222000100210122122212
422002213101103311000
542301110240200341
61244552050121252
7100564604402600
oct12024721236500
92388010718585
10690001100096
1124669a6a6160
12b1887b80228
13500b3a76419
142557938ac00
1512e363655eb
hexa0a7453d40

690001100096 has 168 divisors, whose sum is σ = 1745041910976. Its totient is φ = 267674695680.

The previous prime is 690001100083. The next prime is 690001100273.

It is a happy number.

690001100096 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6900011000962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7994645 + ... + 8080491.

It is an arithmetic number, because the mean of its divisors is an integer number (10387154232).

Almost surely, 2690001100096 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 690001100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872520955488).

690001100096 is an abundant number, since it is smaller than the sum of its proper divisors (1055040810880).

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

690001100096 is a wasteful number, since it uses less digits than its factorization.

690001100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86117 (or 86100 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

It can be divided in two parts, 690001 and 100096, that added together give a palindrome (790097).

The spelling of 690001100096 in words is "six hundred ninety billion, one million, one hundred thousand, ninety-six".