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6830239196320 = 255374957232753
BaseRepresentation
bin110001101100100100111…
…1110110010010010100000
3220011222001010001121220221
41203121021332302102200
51343401312213240240
622305434002212424
71303316460146341
oct143311176622240
926158033047827
106830239196320
1121a3762a64991
129238b5354114
133a7120100637
1419882a2660c8
15bca0bda1a4a
hex63649fb24a0

6830239196320 has 96 divisors (see below), whose sum is σ = 16575974584848. Its totient is φ = 2657707573248.

The previous prime is 6830239196299. The next prime is 6830239196323. The reversal of 6830239196320 is 236919320386.

It can be written as a sum of positive squares in 8 ways, for example, as 4993097506576 + 1837141689744 = 2234524^2 + 1355412^2 .

It is not an unprimeable number, because it can be changed into a prime (6830239196323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29229064 + ... + 29461816.

Almost surely, 26830239196320 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 6830239196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287987292424).

6830239196320 is an abundant number, since it is smaller than the sum of its proper divisors (9745735388528).

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

6830239196320 is a wasteful number, since it uses less digits than its factorization.

6830239196320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237762 (or 237754 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 6830239196320 in words is "six trillion, eight hundred thirty billion, two hundred thirty-nine million, one hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 4957 5920 9914 19828 24785 39656 49570 79312 99140 158624 183409 198280 232753 366818 396560 465506 733636 793120 917045 931012 1163765 1467272 1834090 1862024 2327530 2934544 3668180 3724048 4655060 5869088 7336360 7448096 8611861 9310120 14672720 17223722 18620240 29345440 34447444 37240480 43059305 68894888 86118610 137789776 172237220 275579552 344474440 688948880 1153756621 1377897760 2307513242 4615026484 5768783105 9230052968 11537566210 18460105936 23075132420 36920211872 42688994977 46150264840 85377989954 92300529680 170755979908 184601059360 213444974885 341511959816 426889949770 683023919632 853779899540 1366047839264 1707559799080 3415119598160 6830239196320