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46423255232464 = 2411261904943441
BaseRepresentation
bin10101000111000110000011…
…01000110010111111010000
320002101000112110212010220121
422203203001220302333100
522041044311314414324
6242422314331520024
712530653353502405
oct1243430150627720
9202330473763817
1046423255232464
1113878aa0366200
12525917a2b9014
131cb9904179c76
14b66c7cbd82ac
15557896ec75e4
hex2a38c1a32fd0

46423255232464 has 120 divisors (see below), whose sum is σ = 100499387462600. Its totient is φ = 20752782336000.

The previous prime is 46423255232461. The next prime is 46423255232489.

46423255232464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1580250126400 + 44843005106064 = 1257080^2 + 6696492^2 .

It is a super-2 number, since 2×464232552324642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46423255232461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068628984 + ... + 1068672424.

Almost surely, 246423255232464 is an apocalyptic number.

46423255232464 is a gapful number since it is divisible by the number (44) 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 46423255232464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50249693731300).

46423255232464 is an abundant number, since it is smaller than the sum of its proper divisors (54076132230136).

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

46423255232464 is a wasteful number, since it uses less digits than its factorization.

46423255232464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52581 (or 52564 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

It can be divided in two parts, 4642325 and 5232464, that added together give a palindrome (9874789).

The spelling of 46423255232464 in words is "forty-six trillion, four hundred twenty-three billion, two hundred fifty-five million, two hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 121 122 176 242 244 484 488 671 968 976 1342 1936 2684 5368 7381 9049 10736 14762 18098 29524 36196 43441 59048 72392 86882 99539 118096 144784 173764 199078 347528 398156 477851 551989 695056 796312 955702 1094929 1103978 1592624 1911404 2189858 2207956 2649901 3822808 4379716 4415912 5256361 5299802 6071879 7645616 8759432 8831824 10512722 10599604 12143758 17518864 21025444 21199208 24287516 29148911 42050888 42398416 48575032 58297822 66790669 84101776 97150064 116595644 133581338 233191288 267162676 320638021 393097609 466382576 534325352 641276042 786195218 1068650704 1282552084 1572390436 2565104168 3144780872 4324073699 5130208336 6289561744 8648147398 17296294796 23978954149 34592589592 47564810689 47957908298 69185179184 95129621378 95915816596 190259242756 191831633192 263768495639 380518485512 383663266384 527536991278 761036971024 1055073982556 2110147965112 2901453452029 4220295930224 5802906904058 11605813808116 23211627616232 46423255232464