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38506732376464 = 24111094434530997
BaseRepresentation
bin10001100000101100011000…
…00110101101000110010000
312001100012121101110000220101
420300112030012231012100
520021343241442021324
6213521425412422144
711053006503501622
oct1060261406550620
9161305541400811
1038506732376464
11112a6682615880
12439aa42917954
131864227bb3b91
14971a43022c12
1546b9ad925944
hex23058c1ad190

38506732376464 has 80 divisors (see below), whose sum is σ = 82321346543040. Its totient is φ = 17303330004480.

The previous prime is 38506732376369. The next prime is 38506732376467. The reversal of 38506732376464 is 46467323760583.

It is a super-2 number, since 2×385067323764642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38506732376396 and 38506732376405.

It is not an unprimeable number, because it can be changed into a prime (38506732376467) 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 15 ways as a sum of consecutive naturals, for example, 6233014 + ... + 10764010.

It is an arithmetic number, because the mean of its divisors is an integer number (1029016831788).

Almost surely, 238506732376464 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 38506732376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160673271520).

38506732376464 is an abundant number, since it is smaller than the sum of its proper divisors (43814614166576).

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

38506732376464 is a wasteful number, since it uses less digits than its factorization.

38506732376464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531568 (or 4531562 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 64.

The spelling of 38506732376464 in words is "thirty-eight trillion, five hundred six billion, seven hundred thirty-two million, three hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 443 872 886 1199 1744 1772 2398 3544 4796 4873 7088 9592 9746 19184 19492 38984 48287 77968 96574 193148 386296 531157 772592 1062314 2124628 4249256 4530997 8498512 9061994 18123988 36247976 49840967 72495952 99681934 199363868 398727736 493878673 797455472 987757346 1975514692 2007231671 3951029384 4014463342 5432665403 7902058768 8028926684 10865330806 16057853368 21730661612 22079548381 32115706736 43461323224 44159096762 86922646448 88318193524 176636387048 218788252139 353272774096 437576504278 875153008556 1750306017112 2406670773529 3500612034224 4813341547058 9626683094116 19253366188232 38506732376464