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10019343625824 = 2531357171404289
BaseRepresentation
bin1001000111001100111101…
…1010101110111001100000
31022110211200021200020222110
42101303033122232321200
52303124103432011244
633150453430035320
72052605450426001
oct221631732567140
938424607606873
1010019343625824
1132131a8300445
121159995aa8b40
13578a87859a70
14268d201951a8
1512595d2579b9
hex91ccf6aee60

10019343625824 has 96 divisors (see below), whose sum is σ = 28328888216160. Its totient is φ = 3082333519872.

The previous prime is 10019343625783. The next prime is 10019343625831. The reversal of 10019343625824 is 42852634391001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432672 + ... + 7836960.

It is an arithmetic number, because the mean of its divisors is an integer number (295092585585).

Almost surely, 210019343625824 is an apocalyptic number.

It is an amenable number.

10019343625824 is an abundant number, since it is smaller than the sum of its proper divisors (18309544590336).

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

10019343625824 is a wasteful number, since it uses less digits than its factorization.

10019343625824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410032 (or 1410024 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 10019343625824 in words is "ten trillion, nineteen billion, three hundred forty-three million, six hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5717 11434 17151 22868 34302 45736 68604 74321 91472 137208 148642 182944 222963 274416 297284 445926 548832 594568 891852 1189136 1404289 1783704 2378272 2808578 3567408 4212867 5617156 7134816 8425734 11234312 16851468 18255757 22468624 33702936 36511514 44937248 54767271 67405872 73023028 109534542 134811744 146046056 219069084 292092112 438138168 584184224 876276336 1752552672 8028320213 16056640426 24084960639 32113280852 48169921278 64226561704 96339842556 104368162769 128453123408 192679685112 208736325538 256906246816 313104488307 385359370224 417472651076 626208976614 770718740448 834945302152 1252417953228 1669890604304 2504835906456 3339781208608 5009671812912 10019343625824