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4233146136 = 2332316974519
BaseRepresentation
bin1111110001010000…
…1010111100011000
3101221000102002211020
43330110022330120
532132141134021
61540015002440
7206621101632
oct37424127430
911830362736
104233146136
11188255638a
129a1809420
135260129cb
142c22c3a52
1519b97a7c6
hexfc50af18

4233146136 has 64 divisors (see below), whose sum is σ = 11051942400. Its totient is φ = 1348604928.

The previous prime is 4233146117. The next prime is 4233146213. The reversal of 4233146136 is 6316413324.

4233146136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4233146097 and 4233146106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934485 + ... + 939003.

It is an arithmetic number, because the mean of its divisors is an integer number (172686600).

Almost surely, 24233146136 is an apocalyptic number.

4233146136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4233146136 is an abundant number, since it is smaller than the sum of its proper divisors (6818796264).

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

4233146136 is a wasteful number, since it uses less digits than its factorization.

4233146136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6244 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 4233146136 is about 65062.6324090872. The cubic root of 4233146136 is about 1617.6618884699.

The spelling of 4233146136 in words is "four billion, two hundred thirty-three million, one hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1697 3394 4519 5091 6788 9038 10182 13557 13576 18076 20364 27114 36152 39031 40728 54228 78062 103937 108456 117093 156124 207874 234186 311811 312248 415748 468372 623622 831496 936744 1247244 2494488 7668743 15337486 23006229 30674972 46012458 61349944 92024916 176381089 184049832 352762178 529143267 705524356 1058286534 1411048712 2116573068 4233146136