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425334450352 = 24789233367499
BaseRepresentation
bin1100011000001111110…
…10001010100010110000
31111122212021210210102211
412030013322022202300
523432041104402402
6523221305221504
742505120114210
oct6140772124260
91448767723384
10425334450352
11154424232979
126a523791894
1331155245176
141682cb2a240
15b0e5b324d7
hex6307e8a8b0

425334450352 has 160 divisors (see below), whose sum is σ = 961009920000. Its totient is φ = 178616807424.

The previous prime is 425334450329. The next prime is 425334450361. The reversal of 425334450352 is 253054433524.

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, 852373399 + ... + 852373897.

It is an arithmetic number, because the mean of its divisors is an integer number (6006312000).

Almost surely, 2425334450352 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 425334450352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480504960000).

425334450352 is an abundant number, since it is smaller than the sum of its proper divisors (535675469648).

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

425334450352 is a wasteful number, since it uses less digits than its factorization.

425334450352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

Adding to 425334450352 its reverse (253054433524), we get a palindrome (678388883876).

The spelling of 425334450352 in words is "four hundred twenty-five billion, three hundred thirty-four million, four hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 233 356 367 466 499 623 712 734 932 998 1246 1424 1468 1631 1864 1996 2492 2569 2936 3262 3493 3728 3992 4984 5138 5872 6524 6986 7984 9968 10276 13048 13972 20552 20737 26096 27944 32663 41104 41474 44411 55888 65326 82948 85511 88822 116267 130652 145159 165896 171022 177644 183133 228641 232534 261304 290318 310877 331792 342044 355288 366266 457282 465068 522608 580636 598577 621754 684088 710576 732532 813869 914564 930136 1161272 1197154 1243508 1281931 1368176 1465064 1627738 1829128 1860272 2322544 2394308 2487016 2563862 2930128 3255476 3658256 4788616 4974032 5127724 6510952 7610479 9577232 10255448 10347763 13021904 15220958 16298837 20510896 20695526 30441916 32597674 41391052 42669989 53273353 60883832 65195348 72434341 82782104 85339978 106546706 114091859 121767664 130390696 144868682 165564208 170679956 213093412 228183718 260781392 289737364 298689923 341359912 426186824 456367436 579474728 597379846 682719824 852373648 912734872 1158949456 1194759692 1825469744 2389519384 3797629021 4779038768 7595258042 15190516084 26583403147 30381032168 53166806294 60762064336 106333612588 212667225176 425334450352