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199425740352 = 26361136112511
BaseRepresentation
bin1011100110111010110…
…0110100111001000000
3201001202022201021100120
42321232230310321000
511231410442142402
6231340453420240
720256645552426
oct2715654647100
9631668637316
10199425740352
11776376a4453
123279733a680
1315a62366777
14991bb19116
1552c2d3d3bc
hex2e6eb34e40

199425740352 has 112 divisors (see below), whose sum is σ = 536734170624. Its totient is φ = 65332224000.

The previous prime is 199425740333. The next prime is 199425740359. The reversal of 199425740352 is 253047524991.

199425740352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199425740295 and 199425740304.

It is not an unprimeable number, because it can be changed into a prime (199425740359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15933777 + ... + 15946287.

Almost surely, 2199425740352 is an apocalyptic number.

199425740352 is a gapful number since it is divisible by the number (12) 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 199425740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268367085312).

199425740352 is an abundant number, since it is smaller than the sum of its proper divisors (337308430272).

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

199425740352 is a wasteful number, since it uses less digits than its factorization.

199425740352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 199425740352 in words is "one hundred ninety-nine billion, four hundred twenty-five million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1361 1464 1952 2722 2928 3904 4083 5444 5856 8166 10888 11712 12511 16332 21776 25022 32664 37533 43552 50044 65328 75066 83021 87104 100088 130656 150132 166042 200176 249063 261312 300264 332084 400352 498126 600528 664168 763171 800704 996252 1201056 1328336 1526342 1992504 2289513 2402112 2656672 3052684 3985008 4579026 5313344 6105368 7970016 9158052 12210736 15940032 17027471 18316104 24421472 34054942 36632208 48842944 51082413 68109884 73264416 102164826 136219768 146528832 204329652 272439536 408659304 544879072 817318608 1038675731 1089758144 1634637216 2077351462 3116027193 3269274432 4154702924 6232054386 8309405848 12464108772 16618811696 24928217544 33237623392 49856435088 66475246784 99712870176 199425740352