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74688312744864 = 25327138393396697
BaseRepresentation
bin10000111110110110111010…
…010110011001101110100000
3100210110010120221011210102100
4100332312322112121232200
534242143131030313424
6422503200500250400
721506024005316430
oct2076667226315640
9323403527153370
1074688312744864
1121886154473645
1284631189a0a00
13328a101848690
141462d0dc1c2c0
15897c339b2dc9
hex43edba599ba0

74688312744864 has 288 divisors, whose sum is σ = 261720743880960. Its totient is φ = 19674532786176.

The previous prime is 74688312744853. The next prime is 74688312744887. The reversal of 74688312744864 is 46844721388647.

It is a happy number.

74688312744864 is a `hidden beast` number, since 7 + 4 + 68 + 8 + 3 + 12 + 74 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×746883127448642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74688312744792 and 74688312744801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20290164 + ... + 23686860.

It is an arithmetic number, because the mean of its divisors is an integer number (908752582920).

Almost surely, 274688312744864 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 74688312744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130860371940480).

74688312744864 is an abundant number, since it is smaller than the sum of its proper divisors (187032431136096).

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

74688312744864 is a wasteful number, since it uses less digits than its factorization.

74688312744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397572 (or 3397561 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 74688312744864 in words is "seventy-four trillion, six hundred eighty-eight billion, three hundred twelve million, seven hundred forty-four thousand, eight hundred sixty-four".