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38308361805 = 335743979719
BaseRepresentation
bin100011101011010110…
…110011011001001101
310122212202221102011000
4203223112303121031
51111423420034210
625333145050513
72524213463010
oct435326633115
9118782842130
1038308361805
111527908724a
127511486a39
1337c677300c
141bd5a61377
15ee3235ac0
hex8eb5b364d

38308361805 has 128 divisors (see below), whose sum is σ = 80472268800. Its totient is φ = 16927045632.

The previous prime is 38308361803. The next prime is 38308361813. The reversal of 38308361805 is 50816380383.

It is not a de Polignac number, because 38308361805 - 21 = 38308361803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38308361803) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3936736 + ... + 3946454.

It is an arithmetic number, because the mean of its divisors is an integer number (628689600).

Almost surely, 238308361805 is an apocalyptic number.

38308361805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38308361805 is an abundant number, since it is smaller than the sum of its proper divisors (42163906995).

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

38308361805 is a wasteful number, since it uses less digits than its factorization.

38308361805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38308361805 in words is "thirty-eight billion, three hundred eight million, three hundred sixty-one thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 97 105 129 135 189 215 291 301 315 387 485 645 679 873 903 945 1161 1455 1505 1935 2037 2619 2709 3395 4171 4365 4515 5805 6111 8127 9719 10185 12513 13095 13545 18333 20855 29157 29197 30555 37539 40635 48595 62565 68033 87471 87591 91665 112617 145785 145985 187695 204099 262413 262773 340165 417917 437355 437955 563085 612297 788319 942743 1020495 1253751 1312065 1313865 1836891 2089585 2828229 2925419 3061485 3761253 3941595 4713715 6268755 6599201 8484687 8776257 9184455 11283759 14141145 14627095 18806265 19797603 25454061 26328771 32996005 40537949 42423435 43881285 56418795 59392809 78986313 98988015 121613847 127270305 131643855 178178427 202689745 283765643 296964045 364841541 394931565 608069235 851296929 890892135 1094524623 1418828215 1824207705 2553890787 4256484645 5472623115 7661672361 12769453935 38308361805