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38346845700 = 22352220757917
BaseRepresentation
bin100011101101101001…
…100110111000000100
310122222110100121010110
4203231221212320010
51112013243030300
625341041553020
72525161544652
oct435551467004
9118873317113
1038346845700
1115298881819
127522345770
133801728757
141bdabdbdd2
15ee67d8550
hex8eda66e04

38346845700 has 72 divisors (see below), whose sum is σ = 111002395392. Its totient is φ = 10221015680.

The previous prime is 38346845699. The next prime is 38346845701. The reversal of 38346845700 is 754864383.

It is an interprime number because it is at equal distance from previous prime (38346845699) and next prime (38346845701).

It is a self number, because there is not a number n which added to its sum of digits gives 38346845700.

It is not an unprimeable number, because it can be changed into a prime (38346845701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633142 + ... + 691058.

It is an arithmetic number, because the mean of its divisors is an integer number (1541699936).

Almost surely, 238346845700 is an apocalyptic number.

38346845700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38346845700 is an abundant number, since it is smaller than the sum of its proper divisors (72655549692).

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

38346845700 is a wasteful number, since it uses less digits than its factorization.

38346845700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60141 (or 60134 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 38346845700 in words is "thirty-eight billion, three hundred forty-six million, eight hundred forty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2207 4414 6621 8828 11035 13242 22070 26484 33105 44140 55175 57917 66210 110350 115834 132420 165525 173751 220700 231668 289585 331050 347502 579170 662100 695004 868755 1158340 1447925 1737510 2895850 3475020 4343775 5791700 8687550 17375100 127822819 255645638 383468457 511291276 639114095 766936914 1278228190 1533873828 1917342285 2556456380 3195570475 3834684570 6391140950 7669369140 9586711425 12782281900 19173422850 38346845700