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16139681792 = 2251337
BaseRepresentation
bin11110000100000000…
…00000000000000000
31112122210122210012022
433002000000000000
5231023224304132
611225305221012
71110646013603
oct170200000000
945583583168
1016139681792
11693247a8a3
123165191768
1316a29b1790
14ad173233a
15646dd7e12
hex3c2000000

16139681792 has 104 divisors (see below), whose sum is σ = 35701915116. Its totient is φ = 7247757312.

The previous prime is 16139681759. The next prime is 16139681809. The reversal of 16139681792 is 29718693161.

It can be written as a sum of positive squares in 2 ways, for example, as 16122904576 + 16777216 = 126976^2 + 4096^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436207598 + ... + 436207634.

Almost surely, 216139681792 is an apocalyptic number.

16139681792 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16139681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850957558).

16139681792 is an abundant number, since it is smaller than the sum of its proper divisors (19562233324).

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

16139681792 is an frugal number, since it uses more digits than its factorization.

16139681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its digits is 979776, while the sum is 53.

The spelling of 16139681792 in words is "sixteen billion, one hundred thirty-nine million, six hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1024 1184 1664 1924 2048 2368 3328 3848 4096 4736 6656 7696 8192 9472 13312 15392 16384 18944 26624 30784 32768 37888 53248 61568 65536 75776 106496 123136 131072 151552 212992 246272 262144 303104 425984 492544 524288 606208 851968 985088 1048576 1212416 1703936 1970176 2097152 2424832 3407872 3940352 4194304 4849664 6815744 7880704 8388608 9699328 13631488 15761408 16777216 19398656 27262976 31522816 33554432 38797312 54525952 63045632 77594624 109051904 126091264 155189248 218103808 252182528 310378496 436207616 504365056 620756992 1008730112 1241513984 2017460224 4034920448 8069840896 16139681792