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3900938769 = 3271315533067
BaseRepresentation
bin1110100010000011…
…1001101000010001
3101001212022012222200
43220200321220101
530442120020034
61443030353413
7165445301220
oct35040715021
911055265880
103900938769
111721a84042
1290a4bb869
134a22492c0
14290128cb7
1517c708a99
hexe8839a11

3900938769 has 48 divisors (see below), whose sum is σ = 6941730432. Its totient is φ = 2055642624.

The previous prime is 3900938737. The next prime is 3900938771. The reversal of 3900938769 is 9678390093.

It is not a de Polignac number, because 3900938769 - 25 = 3900938737 is a prime.

It is a super-2 number, since 2×39009387692 = 30434646558974470722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3900938369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270374 + ... + 1273440.

It is an arithmetic number, because the mean of its divisors is an integer number (144619384).

Almost surely, 23900938769 is an apocalyptic number.

3900938769 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3900938769 is a deficient number, since it is larger than the sum of its proper divisors (3040791663).

3900938769 is a wasteful number, since it uses less digits than its factorization.

3900938769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3900938769 is about 62457.4956990752. The cubic root of 3900938769 is about 1574.1872039002.

The spelling of 3900938769 in words is "three billion, nine hundred million, nine hundred thirty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1553 3067 4659 9201 10871 13977 20189 21469 27603 32613 39871 60567 64407 97839 119613 141323 181701 193221 279097 358839 423969 837291 1271907 2511873 4763051 14289153 33341357 42867459 61919663 100024071 185758989 300072213 433437641 557276967 1300312923 3900938769