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1026690426384 = 24373709823841
BaseRepresentation
bin11101111000010111000…
…01001010011000010000
310122011001211011120100120
432330023201022120100
5113310130222121014
62103353254550240
7134114226430140
oct16741341123020
93564054146316
101026690426384
11366464a86317
12146b90668380
1375a7caa8b4c
1437999102920
151ba8ea4aba9
hexef0b84a610

1026690426384 has 80 divisors (see below), whose sum is σ = 3032002189440. Its totient is φ = 293260677120.

The previous prime is 1026690426383. The next prime is 1026690426451. The reversal of 1026690426384 is 4836240966201.

It is a super-4 number, since 4×10266904263844 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1026690426383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 834304 + ... + 1658144.

It is an arithmetic number, because the mean of its divisors is an integer number (37900027368).

Almost surely, 21026690426384 is an apocalyptic number.

1026690426384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1026690426384 is an abundant number, since it is smaller than the sum of its proper divisors (2005311763056).

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

1026690426384 is a wasteful number, since it uses less digits than its factorization.

1026690426384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827568 (or 827562 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 1026690426384 in words is "one trillion, twenty-six billion, six hundred ninety million, four hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3709 7418 11127 14836 22254 25963 29672 44508 51926 59344 77889 89016 103852 155778 178032 207704 311556 415408 623112 823841 1246224 1647682 2471523 3295364 4943046 5766887 6590728 9886092 11533774 13181456 17300661 19772184 23067548 34601322 39544368 46135096 69202644 92270192 138405288 276810576 3055626269 6111252538 9166878807 12222505076 18333757614 21389383883 24445010152 36667515228 42778767766 48890020304 64168151649 73335030456 85557535532 128336303298 146670060912 171115071064 256672606596 342230142128 513345213192 1026690426384