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4127346912 = 2531310930341
BaseRepresentation
bin1111011000000010…
…0101000011100000
3101122122022221120110
43312000211003200
531423100100122
61521315211320
7204164604243
oct36600450340
911578287513
104127346912
111828863907
129722a6b40
1350a11b710
142b222325a
1519252c90c
hexf60250e0

4127346912 has 96 divisors (see below), whose sum is σ = 11775123360. Its totient is φ = 1258260480.

The previous prime is 4127346901. The next prime is 4127346943. The reversal of 4127346912 is 2196437214.

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 (39).

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, 120862 + ... + 151202.

It is an arithmetic number, because the mean of its divisors is an integer number (122657535).

Almost surely, 24127346912 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 4127346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887561680).

4127346912 is an abundant number, since it is smaller than the sum of its proper divisors (7647776448).

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

4127346912 is a wasteful number, since it uses less digits than its factorization.

4127346912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30476 (or 30468 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4127346912 is about 64244.4309804360. The cubic root of 4127346912 is about 1604.0712609016.

The spelling of 4127346912 in words is "four billion, one hundred twenty-seven million, three hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 8502 10464 11336 17004 22672 30341 34008 45344 60682 68016 91023 121364 136032 182046 242728 364092 394433 485456 728184 788866 970912 1183299 1456368 1577732 2366598 2912736 3155464 3307169 4733196 6310928 6614338 9466392 9921507 12621856 13228676 18932784 19843014 26457352 37865568 39686028 42993197 52914704 79372056 85986394 105829408 128979591 158744112 171972788 257959182 317488224 343945576 515918364 687891152 1031836728 1375782304 2063673456 4127346912