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74969451648 = 273271317233159
BaseRepresentation
bin100010111010010000…
…1110000110010000000
321011111202020201222100
41011310201300302000
52212014134423043
654235051310400
75262545552610
oct1056441606200
9234452221870
1074969451648
1129881334703
121264314b400
1370b9b6b7a0
1438b2a04a40
151e3ba30cd3
hex1174870c80

74969451648 has 1536 divisors, whose sum is σ = 307954483200. Its totient is φ = 16933847040.

The previous prime is 74969451619. The next prime is 74969451649. The reversal of 74969451648 is 84615496947.

74969451648 is a `hidden beast` number, since 7 + 496 + 94 + 5 + 16 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (74969451649) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1270668643 + ... + 1270668701.

It is an arithmetic number, because the mean of its divisors is an integer number (200491200).

Almost surely, 274969451648 is an apocalyptic number.

74969451648 is a gapful number since it is divisible by the number (78) 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 74969451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153977241600).

74969451648 is an abundant number, since it is smaller than the sum of its proper divisors (232985031552).

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

74969451648 is a wasteful number, since it uses less digits than its factorization.

74969451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 74969451648 in words is "seventy-four billion, nine hundred sixty-nine million, four hundred fifty-one thousand, six hundred forty-eight".