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38427438026000 = 245341468627293
BaseRepresentation
bin10001011110011000101011…
…10010110000110100010000
312001001121221020010200002102
420233030111302300310100
520014043343113313000
6213421153223335532
711044201510601402
oct1057142562606420
9161047836120072
1038427438026000
1111275a91a67731
1243875b32b15a8
1318598cc018a8a
1496bc7dc92b72
154698bc3933d5
hex22f315cb0d10

38427438026000 has 80 divisors (see below), whose sum is σ = 95183826938928. Its totient is φ = 14996073344000.

The previous prime is 38427438025981. The next prime is 38427438026011. The reversal of 38427438026000 is 62083472483.

It can be written as a sum of positive squares in 8 ways, for example, as 21710232011776 + 16717206014224 = 4659424^2 + 4088668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 234231647 + ... + 234395646.

Almost surely, 238427438026000 is an apocalyptic number.

It is an amenable number.

38427438026000 is an abundant number, since it is smaller than the sum of its proper divisors (56756388912928).

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

38427438026000 is a wasteful number, since it uses less digits than its factorization.

38427438026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468627357 (or 468627341 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 38427438026000 in words is "thirty-eight trillion, four hundred twenty-seven billion, four hundred thirty-eight million, twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 468627293 937254586 1874509172 2343136465 3749018344 4686272930 7498036688 9372545860 11715682325 18745091720 19213719013 23431364650 37490183440 38427438026 46862729300 58578411625 76854876052 93725458600 96068595065 117156823250 153709752104 187450917200 192137190130 234313646500 307419504208 384274380260 468627293000 480342975325 768548760520 937254586000 960685950650 1537097521040 1921371901300 2401714876625 3842743802600 4803429753250 7685487605200 9606859506500 19213719013000 38427438026000