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10349199744 = 273135094073
BaseRepresentation
bin10011010001101110…
…00100000110000000
3222201020211211010020
421220313010012000
5132143343342434
64430535133440
7514314514002
oct115067040600
928636754106
1010349199744
114430942a44
122009b14280
13c8c153340
147026a2372
15408889849
hex268dc4180

10349199744 has 128 divisors (see below), whose sum is σ = 29670127200. Its totient is φ = 3177332736.

The previous prime is 10349199697. The next prime is 10349199799. The reversal of 10349199744 is 44799194301.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2538892 + ... + 2542964.

Almost surely, 210349199744 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 10349199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835063600).

10349199744 is an abundant number, since it is smaller than the sum of its proper divisors (19320927456).

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

10349199744 is a wasteful number, since it uses less digits than its factorization.

10349199744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 10349199744 in words is "ten billion, three hundred forty-nine million, one hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 509 624 832 1018 1248 1527 1664 2036 2496 3054 4072 4073 4992 6108 6617 8144 8146 12216 12219 13234 16288 16292 19851 24432 24438 26468 32576 32584 39702 48864 48876 52936 52949 65152 65168 79404 97728 97752 105872 105898 130336 158808 158847 195456 195504 211744 211796 260672 317616 317694 391008 423488 423592 521344 635232 635388 782016 846976 847184 1270464 1270776 1564032 1694368 2073157 2540928 2541552 3388736 4146314 5083104 6219471 6777472 8292628 10166208 12438942 16585256 20332416 24877884 26951041 33170512 49755768 53902082 66341024 80853123 99511536 107804164 132682048 161706246 199023072 215608328 265364096 323412492 398046144 431216656 646824984 796092288 862433312 1293649968 1724866624 2587299936 3449733248 5174599872 10349199744