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126452446464 = 283379434437
BaseRepresentation
bin111010111000100100…
…1110011010100000000
3110002101200120212001010
41311301021303110000
54032433311241324
6134031430440520
712064416026451
oct1656111632400
9402350525033
10126452446464
11496a0122703
1220610803140
13bc02c28526
14619828d128
1534516b1829
hex1d71273500

126452446464 has 72 divisors (see below), whose sum is σ = 337436683360. Its totient is φ = 42039502848.

The previous prime is 126452446457. The next prime is 126452446469. The reversal of 126452446464 is 464644254621.

It is a super-2 number, since 2×1264524464642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126452446469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73854 + ... + 508290.

Almost surely, 2126452446464 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 126452446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168718341680).

126452446464 is an abundant number, since it is smaller than the sum of its proper divisors (210984236896).

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

126452446464 is an equidigital number, since it uses as much as digits as its factorization.

126452446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434835 (or 434821 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 126452446464 in words is "one hundred twenty-six billion, four hundred fifty-two million, four hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 379 384 758 768 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 48512 72768 97024 145536 291072 434437 868874 1303311 1737748 2606622 3475496 5213244 6950992 10426488 13901984 20852976 27803968 41705952 55607936 83411904 111215872 164651623 166823808 329303246 333647616 493954869 658606492 987909738 1317212984 1975819476 2634425968 3951638952 5268851936 7903277904 10537703872 15806555808 21075407744 31613111616 42150815488 63226223232 126452446464