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426525036216 = 233233154146073
BaseRepresentation
bin1100011010011101101…
…11111000111010111000
31111202221021002211012120
412031032313320322320
523442010402124331
6523535355441240
742546454663056
oct6151667707270
91452837084176
10426525036216
11154985299734
126a7b6456220
13312b4ac1646
1416902cc91d6
15b16540d796
hex634edf8eb8

426525036216 has 128 divisors (see below), whose sum is σ = 1150714736640. Its totient is φ = 131360486400.

The previous prime is 426525036191. The next prime is 426525036263. The reversal of 426525036216 is 612630525624.

It is a super-2 number, since 2×4265250362162 (a number of 24 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9234556 + ... + 9280628.

It is an arithmetic number, because the mean of its divisors is an integer number (8989958880).

Almost surely, 2426525036216 is an apocalyptic number.

426525036216 is a gapful number since it is divisible by the number (46) 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 426525036216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575357368320).

426525036216 is an abundant number, since it is smaller than the sum of its proper divisors (724189700424).

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

426525036216 is a wasteful number, since it uses less digits than its factorization.

426525036216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46677 (or 46673 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 426525036216 in words is "four hundred twenty-six billion, five hundred twenty-five million, thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 541 552 713 744 1082 1426 1623 2139 2164 2852 3246 4278 4328 5704 6492 8556 12443 12984 16771 17112 24886 33542 37329 46073 49772 50313 67084 74658 92146 99544 100626 134168 138219 149316 184292 201252 276438 298632 368584 385733 402504 552876 771466 1059679 1105752 1157199 1428263 1542932 2119358 2314398 2856526 3085864 3179037 4238716 4284789 4628796 5713052 6358074 8477432 8569578 9257592 11426104 12716148 17139156 24925493 25432296 32850049 34278312 49850986 65700098 74776479 98550147 99701972 131400196 149552958 197100294 199403944 262800392 299105916 394200588 573286339 598211832 772690283 788401176 1146572678 1545380566 1719859017 2293145356 2318070849 3090761132 3439718034 4586290712 4636141698 6181522264 6879436068 9272283396 13758872136 17771876509 18544566792 35543753018 53315629527 71087506036 106631259054 142175012072 213262518108 426525036216