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3846948012 = 2233193375563
BaseRepresentation
bin1110010101001011…
…1100010010101100
3100221002201012121000
43211102330102230
530334304314022
61433421240300
7164221342605
oct34522742254
910832635530
103846948012
1116a4557a86
128b4403090
13493cc45cb
14286cb2dac
15177ae16ac
hexe54bc4ac

3846948012 has 96 divisors (see below), whose sum is σ = 10531539200. Its totient is φ = 1211003136.

The previous prime is 3846948011. The next prime is 3846948019. The reversal of 3846948012 is 2108496483.

It is a happy number.

3846948012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3846948011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688743 + ... + 694305.

Almost surely, 23846948012 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 3846948012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265769600).

3846948012 is an abundant number, since it is smaller than the sum of its proper divisors (6684591188).

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

3846948012 is a wasteful number, since it uses less digits than its factorization.

3846948012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3846948012 is about 62023.7697338690. The cubic root of 3846948012 is about 1566.8909508586.

The spelling of 3846948012 in words is "three billion, eight hundred forty-six million, nine hundred forty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 337 342 513 674 684 1011 1026 1348 2022 2052 3033 4044 5563 6066 6403 9099 11126 12132 12806 16689 18198 19209 22252 25612 33378 36396 38418 50067 57627 66756 76836 100134 105697 115254 150201 172881 200268 211394 230508 300402 317091 345762 422788 600804 634182 691524 951273 1268364 1874731 1902546 2853819 3749462 3805092 5624193 5707638 7498924 11248386 11415276 16872579 22496772 33745158 35619889 50617737 67490316 71239778 101235474 106859667 142479556 202470948 213719334 320579001 427438668 641158002 961737003 1282316004 1923474006 3846948012