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3936141672 = 2333153173577
BaseRepresentation
bin1110101010011100…
…1100000101101000
3101011022112201021220
43222213030011220
531030123013142
61450325102040
7166353436461
oct35247140550
911138481256
103936141672
11173a938551
1291a257920
134a9623518
14294a8dd68
1518085e2ec
hexea9cc168

3936141672 has 128 divisors (see below), whose sum is σ = 10427304960. Its totient is φ = 1236418560.

The previous prime is 3936141653. The next prime is 3936141683. The reversal of 3936141672 is 2761416393.

It is a super-2 number, since 2×39361416722 = 30986422524109911168, which contains 22 as substring.

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, 6821448 + ... + 6822024.

It is an arithmetic number, because the mean of its divisors is an integer number (81463320).

Almost surely, 23936141672 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 3936141672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213652480).

3936141672 is an abundant number, since it is smaller than the sum of its proper divisors (6491163288).

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

3936141672 is a wasteful number, since it uses less digits than its factorization.

3936141672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3936141672 is about 62738.6776398738. The cubic root of 3936141672 is about 1578.9082978295.

The spelling of 3936141672 in words is "three billion, nine hundred thirty-six million, one hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 173 186 212 248 318 346 372 424 519 577 636 692 744 1038 1154 1272 1384 1643 1731 2076 2308 3286 3462 4152 4616 4929 5363 6572 6924 9169 9858 10726 13144 13848 16089 17887 18338 19716 21452 27507 30581 32178 35774 36676 39432 42904 53661 55014 61162 64356 71548 73352 91743 99821 107322 110028 122324 128712 143096 183486 199642 214644 220056 244648 284239 299463 366972 399284 429288 568478 598926 733944 798568 852717 948011 1136956 1197852 1705434 1896022 2273912 2395704 2844033 3094451 3410868 3792044 5290513 5688066 6188902 6821736 7584088 9283353 10581026 11376132 12377804 15871539 18566706 21162052 22752264 24755608 31743078 37133412 42324104 63486156 74266824 126972312 164005903 328011806 492017709 656023612 984035418 1312047224 1968070836 3936141672