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38342779776 = 2732743910831
BaseRepresentation
bin100011101101011010…
…000110001110000000
310122222011201000201200
4203231122012032000
51112011222423101
625340414501200
72525112151650
oct435532061600
9118864630650
1038342779776
1115296554a54
127520b04800
133800933b92
141bda460360
15ee6283986
hex8ed686380

38342779776 has 192 divisors, whose sum is σ = 126396441600. Its totient is φ = 10929116160.

The previous prime is 38342779771. The next prime is 38342779819. The reversal of 38342779776 is 67797724383.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×383427797762 (a number of 22 digits) contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38342779771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534681 + ... + 3545511.

It is an arithmetic number, because the mean of its divisors is an integer number (658314800).

Almost surely, 238342779776 is an apocalyptic number.

38342779776 is a gapful number since it is divisible by the number (36) 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 38342779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63198220800).

38342779776 is an abundant number, since it is smaller than the sum of its proper divisors (88053661824).

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

38342779776 is a wasteful number, since it uses less digits than its factorization.

38342779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11282 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

It can be divided in two parts, 383427 and 79776, that added together give a triangular number (463203 = T962).

The spelling of 38342779776 in words is "thirty-eight billion, three hundred forty-two million, seven hundred seventy-nine thousand, seven hundred seventy-six".