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38400120634215 = 3529176275008007
BaseRepresentation
bin10001011101100101110011…
…00011001011101101100111
312000222000102102122101101010
420232302321203023231213
520013121421340243330
6213400434421033303
711042213533601634
oct1056627143135547
9160860372571333
1038400120634215
111126544401098a
12438224a855833
13185716765b222
1496a80bc3118b
15468d1e0163b0
hex22ecb98cbb67

38400120634215 has 32 divisors (see below), whose sum is σ = 63562438817280. Its totient is φ = 19772729481344.

The previous prime is 38400120634181. The next prime is 38400120634259. The reversal of 38400120634215 is 51243602100483.

It is a cyclic number.

It is not a de Polignac number, because 38400120634215 - 26 = 38400120634151 is a prime.

It is a super-2 number, since 2×384001206342152 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5163742 + ... + 10171748.

It is an arithmetic number, because the mean of its divisors is an integer number (1986326213040).

Almost surely, 238400120634215 is an apocalyptic number.

38400120634215 is a deficient number, since it is larger than the sum of its proper divisors (25162318183065).

38400120634215 is a wasteful number, since it uses less digits than its factorization.

38400120634215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025671.

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 38400120634215 its reverse (51243602100483), we get a palindrome (89643722734698).

The spelling of 38400120634215 in words is "thirty-eight trillion, four hundred billion, one hundred twenty million, six hundred thirty-four thousand, two hundred fifteen".

Divisors: 1 3 5 15 29 87 145 435 17627 52881 88135 264405 511183 1533549 2555915 5008007 7667745 15024021 25040035 75120105 145232203 435696609 726161015 2178483045 88276139389 264828418167 441380696945 1324142090835 2560008042281 7680024126843 12800040211405 38400120634215