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2328046629328 = 2471912713131283
BaseRepresentation
bin100001111000001010011…
…001000111000111010000
322020120002120110021021101
4201320022121013013100
5301120314414114303
64541253450434144
7330124110563140
oct41701231070720
98216076407241
102328046629328
118183566a2892
12317236132954
1313b6c2b58b24
148096c83c920
1540857a63d1d
hex21e0a6471d0

2328046629328 has 160 divisors (see below), whose sum is σ = 5221754929152. Its totient is φ = 984920601600.

The previous prime is 2328046629283. The next prime is 2328046629371. The reversal of 2328046629328 is 8239266408232.

It is a happy number.

It is a super-2 number, since 2×23280466293282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814532975 + ... + 1814534257.

Almost surely, 22328046629328 is an apocalyptic number.

2328046629328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328046629328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610877464576).

2328046629328 is an abundant number, since it is smaller than the sum of its proper divisors (2893708299824).

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

2328046629328 is a wasteful number, since it uses less digits than its factorization.

2328046629328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 2328046629328 in words is "two trillion, three hundred twenty-eight billion, forty-six million, six hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 271 313 382 542 626 764 1084 1252 1283 1337 1528 1897 2168 2191 2504 2566 2674 3056 3794 4336 4382 5008 5132 5348 7588 8764 8981 10264 10696 15176 17528 17962 20528 21392 30352 35056 35924 51761 59783 71848 84823 103522 119566 143696 169646 207044 239132 245053 339292 347693 362327 401579 414088 418481 478264 490106 593761 678584 695386 724654 803158 828176 836962 956528 980212 1187522 1357168 1390772 1449308 1606316 1673924 1715371 1960424 2375044 2433851 2781544 2811053 2898616 3212632 3347848 3430742 3920848 4750088 4867702 5563088 5622106 5797232 6425264 6695696 6861484 9500176 9735404 11244212 13722968 16201193 19470808 22488424 27445936 32402386 38941616 44976848 64804772 66409363 76701589 108827909 113408351 129609544 132818726 153403178 217655818 226816702 259219088 265637452 306806356 435311636 453633404 464865541 531274904 536911123 613612712 761795363 870623272 907266808 929731082 1062549808 1073822246 1227225424 1523590726 1741246544 1814533616 1859462164 2147644492 3047181452 3718924328 4295288984 6094362904 7437848656 8590577968 12188725808 20786130619 41572261238 83144522476 145502914333 166289044952 291005828666 332578089904 582011657332 1164023314664 2328046629328