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38534227344 = 2432737614817
BaseRepresentation
bin100011111000110100…
…011010010110010000
310200110111221120102100
4203320310122112100
51112404230233334
625411414120400
72532625346064
oct437064322620
9120414846370
1038534227344
1115384626388
127575050100
1338314b5472
141c17a57aa4
151007e9dc99
hex8f8d1a590

38534227344 has 120 divisors (see below), whose sum is σ = 109485985752. Its totient is φ = 12649512960.

The previous prime is 38534227339. The next prime is 38534227349. The reversal of 38534227344 is 44372243583.

38534227344 is a `hidden beast` number, since 3 + 8 + 534 + 2 + 2 + 73 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (38534227339) and next prime (38534227349).

It can be written as a sum of positive squares in 4 ways, for example, as 1231167744 + 37303059600 = 35088^2 + 193140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38534227344.

It is not an unprimeable number, because it can be changed into a prime (38534227349) 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, 7997224 + ... + 8002040.

Almost surely, 238534227344 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 38534227344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54742992876).

38534227344 is an abundant number, since it is smaller than the sum of its proper divisors (70951758408).

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

38534227344 is a wasteful number, since it uses less digits than its factorization.

38534227344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5656 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

It can be divided in two parts, 385342 and 27344, that added together give a triangular number (412686 = T908).

The spelling of 38534227344 in words is "thirty-eight billion, five hundred thirty-four million, two hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 761 876 1168 1314 1522 1752 2283 2628 3044 3504 4566 4817 5256 6088 6849 9132 9634 10512 12176 13698 14451 18264 19268 27396 28902 36528 38536 43353 54792 55553 57804 77072 86706 109584 111106 115608 166659 173412 222212 231216 333318 346824 351641 444424 499977 666636 693648 703282 888848 999954 1054923 1333272 1406564 1999908 2109846 2666544 2813128 3164769 3665737 3999816 4219692 5626256 6329538 7331474 7999632 8439384 10997211 12659076 14662948 16878768 21994422 25318152 29325896 32991633 43988844 50636304 58651792 65983266 87977688 131966532 175955376 263933064 267598801 527866128 535197602 802796403 1070395204 1605592806 2140790408 2408389209 3211185612 4281580816 4816778418 6422371224 9633556836 12844742448 19267113672 38534227344