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69441011640 = 2337571113261
BaseRepresentation
bin100000010101100000…
…0011011111110111000
320122020110111220000000
41000223000123332320
52114203344333030
651522321513000
75005545600660
oct1005300337670
9218213456000
1069441011640
11274a4705920
121155b7a2760
1367186aac00
14350a6a71a0
151c164e4860
hex102b01bfb8

69441011640 has 1536 divisors, whose sum is σ = 321536563200. Its totient is φ = 13101004800.

The previous prime is 69441011617. The next prime is 69441011671. The reversal of 69441011640 is 4611014496.

69441011640 is a `hidden beast` number, since 6 + 9 + 4 + 4 + 1 + 0 + 1 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 69441011595 and 69441011604.

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 383 ways as a sum of consecutive naturals, for example, 1138377210 + ... + 1138377270.

It is an arithmetic number, because the mean of its divisors is an integer number (209333700).

Almost surely, 269441011640 is an apocalyptic number.

69441011640 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 69441011640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160768281600).

69441011640 is an abundant number, since it is smaller than the sum of its proper divisors (252095551560).

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

69441011640 is a wasteful number, since it uses less digits than its factorization.

69441011640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 69441011640 in words is "sixty-nine billion, four hundred forty-one million, eleven thousand, six hundred forty".