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6731972104 = 23111337891787
BaseRepresentation
bin1100100010100000…
…11011111000001000
3122101011101121122011
412101100123320020
5102241341101404
63032001305304
7325552550554
oct62120337010
918334347564
106731972104
112945028310
12137a635234
13833920960
1447c10a864
15296023604
hex19141be08

6731972104 has 128 divisors (see below), whose sum is σ = 15409699200. Its totient is φ = 2715863040.

The previous prime is 6731972083. The next prime is 6731972119. The reversal of 6731972104 is 4012791376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766299 + ... + 3768085.

It is an arithmetic number, because the mean of its divisors is an integer number (120388275).

Almost surely, 26731972104 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 6731972104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704849600).

6731972104 is an abundant number, since it is smaller than the sum of its proper divisors (8677727096).

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

6731972104 is a wasteful number, since it uses less digits than its factorization.

6731972104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 6731972104 is about 82048.5959904251. The cubic root of 6731972104 is about 1888.1975765474.

The spelling of 6731972104 in words is "six billion, seven hundred thirty-one million, nine hundred seventy-two thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 89 104 143 148 178 286 296 356 407 481 572 712 814 962 979 1144 1157 1628 1787 1924 1958 2314 3256 3293 3574 3848 3916 4628 5291 6586 7148 7832 9256 10582 12727 13172 14296 19657 21164 23231 25454 26344 36223 39314 42328 42809 46462 50908 66119 72446 78628 85618 92924 101816 132238 144892 157256 159043 171236 185848 255541 264476 289784 318086 342472 470899 511082 528952 636172 727309 859547 941798 1022164 1272344 1454618 1719094 1749473 1883596 2044328 2067559 2909236 3438188 3498946 3767192 4135118 5818472 5884591 6876376 6997892 8270236 9455017 11769182 13995784 16540472 18910034 22743149 23538364 37820068 45486298 47076728 64730501 75640136 76499683 90972596 129461002 152999366 181945192 258922004 305998732 517844008 611997464 841496513 1682993026 3365986052 6731972104