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690101959680 = 210365761433
BaseRepresentation
bin10100000101011010100…
…10000011110000000000
32102222021101120212000000
422002231102003300000
542301312100202210
61245010052000000
7100600240605060
oct12025522036000
92388241525000
10690101959680
11246741624491
12b18b5900000
13500cb92b253
14255889233a0
1512e40139ac0
hexa0ad483c00

690101959680 has 1232 divisors, whose sum is σ = 2889752585664. Its totient is φ = 154793410560.

The previous prime is 690101959661. The next prime is 690101959711. The reversal of 690101959680 is 86959101096.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1593768744 + ... + 1593769176.

Almost surely, 2690101959680 is an apocalyptic number.

690101959680 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 690101959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444876292832).

690101959680 is an abundant number, since it is smaller than the sum of its proper divisors (2199650625984).

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

690101959680 is an equidigital number, since it uses as much as digits as its factorization.

690101959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 690101959680 in words is "six hundred ninety billion, one hundred one million, nine hundred fifty-nine thousand, six hundred eighty".