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38273082384 = 2433754739397
BaseRepresentation
bin100011101001010000…
…001110010000010000
310122210022120000212210
4203221100032100100
51111340402114014
625325444552120
72523304555365
oct435120162020
9118708500783
1038273082384
11152601802a9
1275016b2640
1337bc370014
141bd10ba46c
15ee00b7859
hex8e940e410

38273082384 has 80 divisors (see below), whose sum is σ = 101732570048. Its totient is φ = 12389884416.

The previous prime is 38273082373. The next prime is 38273082389. The reversal of 38273082384 is 48328037283.

It is a super-2 number, since 2×382730823842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38273082389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951774 + ... + 991170.

Almost surely, 238273082384 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 38273082384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866285024).

38273082384 is an abundant number, since it is smaller than the sum of its proper divisors (63459487664).

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

38273082384 is a wasteful number, since it uses less digits than its factorization.

38273082384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39992 (or 39986 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 38273082384 in words is "thirty-eight billion, two hundred seventy-three million, eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 547 592 888 1094 1641 1776 2188 3282 4376 6564 8752 13128 20239 26256 39397 40478 60717 78794 80956 118191 121434 157588 161912 236382 242868 315176 323824 472764 485736 630352 945528 971472 1457689 1891056 2915378 4373067 5830756 8746134 11661512 17492268 21550159 23323024 34984536 43100318 64650477 69969072 86200636 129300954 172401272 258601908 344802544 517203816 797355883 1034407632 1594711766 2392067649 3189423532 4784135298 6378847064 9568270596 12757694128 19136541192 38273082384