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387235229696 = 212714239491
BaseRepresentation
bin1011010001010010000…
…01001011000000000000
31101000112002101212000022
411220221001023000000
522321024204322241
6453520550513012
736656023100150
oct5505101130000
91330462355008
10387235229696
1113a253212557
1263070365768
132a692c0a113
1414a56b8a760
15a115e5e54b
hex5a2904b000

387235229696 has 104 divisors (see below), whose sum is σ = 885716289024. Its totient is φ = 165823856640.

The previous prime is 387235229687. The next prime is 387235229699. The reversal of 387235229696 is 696922532783.

It is a super-3 number, since 3×3872352296963 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (387235229699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40795511 + ... + 40805001.

Almost surely, 2387235229696 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 387235229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442858144512).

387235229696 is an abundant number, since it is smaller than the sum of its proper divisors (498481059328).

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

387235229696 is an equidigital number, since it uses as much as digits as its factorization.

387235229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10923 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 62.

The spelling of 387235229696 in words is "three hundred eighty-seven billion, two hundred thirty-five million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1423 1792 2048 2846 3584 4096 5692 7168 9491 9961 11384 14336 18982 19922 22768 28672 37964 39844 45536 66437 75928 79688 91072 132874 151856 159376 182144 265748 303712 318752 364288 531496 607424 637504 728576 1062992 1214848 1275008 1457152 2125984 2429696 2550016 2914304 4251968 4859392 5100032 5828608 8503936 9718784 10200064 13505693 17007872 19437568 20400128 27011386 34015744 38875136 40800256 54022772 68031488 94539851 108045544 136062976 189079702 216091088 272125952 378159404 432182176 756318808 864364352 1512637616 1728728704 3025275232 3457457408 6050550464 6914914816 12101100928 13829829632 24202201856 27659659264 48404403712 55319318528 96808807424 193617614848 387235229696