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426288372642 = 233112173837739
BaseRepresentation
bin1100011010000001100…
…01000101101110100010
31111202022202210001211000
412031000301011232202
523441014310411032
6523500103132430
742540552244566
oct6150061055642
91452282701730
10426288372642
11154873744900
126a74b144116
1331277a6b322
14168bd6c16a6
15b14e760e7c
hex6340c45ba2

426288372642 has 96 divisors (see below), whose sum is σ = 1102505947200. Its totient is φ = 121579539840.

The previous prime is 426288372589. The next prime is 426288372647. The reversal of 426288372642 is 246273882624.

426288372642 is a `hidden beast` number, since 4 + 2 + 628 + 8 + 3 + 7 + 2 + 6 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (426288372647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807792 + ... + 2029947.

It is an arithmetic number, because the mean of its divisors is an integer number (11484436950).

Almost surely, 2426288372642 is an apocalyptic number.

426288372642 is an abundant number, since it is smaller than the sum of its proper divisors (676217574558).

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

426288372642 is a wasteful number, since it uses less digits than its factorization.

426288372642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837789 (or 3837772 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 426288372642 in words is "four hundred twenty-six billion, two hundred eighty-eight million, three hundred seventy-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 121 153 187 198 242 297 306 363 374 459 561 594 726 918 1089 1122 1683 2057 2178 3267 3366 4114 5049 6171 6534 10098 12342 18513 37026 55539 111078 3837739 7675478 11513217 23026434 34539651 42215129 65241563 69079302 84430258 103618953 126645387 130483126 195724689 207237906 253290774 379936161 391449378 464366419 587174067 717657193 759872322 928732838 1139808483 1174348134 1393099257 1435314386 1761522201 2152971579 2279616966 2786198514 3523044402 4179297771 4305943158 6458914737 7894229123 8358595542 12537893313 12917829474 15788458246 19376744211 23682687369 25075786626 38753488422 47365374738 71048062107 142096124214 213144186321 426288372642