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38452280416 = 25111729221581
BaseRepresentation
bin100011110011111011…
…110011110001100000
310200020210202020100221
4203303323303301200
51112222240433131
625355325452424
72530611663544
oct436373636140
9120223666327
1038452280416
1115342345450
127551711114
13381a522b64
141c0ac05a24
151000bb3411
hex8f3ef3c60

38452280416 has 96 divisors (see below), whose sum is σ = 90458635680. Its totient is φ = 15882854400.

The previous prime is 38452280369. The next prime is 38452280423. The reversal of 38452280416 is 61408225483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62746 + ... + 284326.

It is an arithmetic number, because the mean of its divisors is an integer number (942277455).

Almost surely, 238452280416 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 38452280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45229317840).

38452280416 is an abundant number, since it is smaller than the sum of its proper divisors (52006355264).

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

38452280416 is a wasteful number, since it uses less digits than its factorization.

38452280416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221648 (or 221640 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 38452280416 in words is "thirty-eight billion, four hundred fifty-two million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 136 176 187 232 272 319 352 374 464 493 544 638 748 928 986 1276 1496 1972 2552 2992 3944 5104 5423 5984 7888 10208 10846 15776 21692 43384 86768 173536 221581 443162 886324 1772648 2437391 3545296 3766877 4874782 6425849 7090592 7533754 9749564 12851698 15067508 19499128 25703396 30135016 38998256 41435647 51406792 60270032 70684339 77996512 82871294 102813584 109239433 120540064 141368678 165742588 205627168 218478866 282737356 331485176 436957732 565474712 662970352 873915464 1130949424 1201633763 1325940704 1747830928 2261898848 2403267526 3495661856 4806535052 9613070104 19226140208 38452280416