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10032334004 = 2271146370351
BaseRepresentation
bin10010101011111100…
…10100010010110100
3221220011121101001002
421111332110102310
5131021234142004
64335255422432
7503416301120
oct112576242264
927804541032
1010032334004
114288a9a030
121b3b984a18
13c3b5cb914
146b257c580
153dab4861e
hex255f944b4

10032334004 has 48 divisors (see below), whose sum is σ = 21936316416. Its totient is φ = 3900204000.

The previous prime is 10032333991. The next prime is 10032334007. The reversal of 10032334004 is 40043323001.

Adding to 10032334004 its reverse (40043323001), we get a palindrome (50075657005).

10032334004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032334007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107429 + ... + 177779.

It is an arithmetic number, because the mean of its divisors is an integer number (457006592).

Almost surely, 210032334004 is an apocalyptic number.

10032334004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968158208).

10032334004 is an abundant number, since it is smaller than the sum of its proper divisors (11903982412).

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

10032334004 is a wasteful number, since it uses less digits than its factorization.

10032334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70836 (or 70834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The spelling of 10032334004 in words is "ten billion, thirty-two million, three hundred thirty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 463 926 1852 3241 5093 6482 10186 12964 20372 35651 70351 71302 140702 142604 281404 492457 773861 984914 1547722 1969828 3095444 5417027 10834054 21668108 32572513 65145026 130290052 228007591 358297643 456015182 716595286 912030364 1433190572 2508083501 5016167002 10032334004