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746696461456 = 241124124792
BaseRepresentation
bin10101101110110101001…
…00111100110010010000
32122101100120010102102101
422313122210330302100
544213213243231311
61331005544330144
7104642556125401
oct12673244746220
92571316112371
10746696461456
11268743760300
1210086b173954
135554a988b1a
14281d6db79a8
15146538eaec1
hexadda93cc90

746696461456 has 135 divisors (see below), whose sum is σ = 1633342459609. Its totient is φ = 330437958400.

The previous prime is 746696461439. The next prime is 746696461457. The reversal of 746696461456 is 654164696647.

The square root of 746696461456 is 864116.

It is a perfect power (a square), and thus also a powerful number.

746696461456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 35980019856 + 710716441600 = 189684^2 + 843040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (746696461457) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1558865025 + ... + 1558865503.

Almost surely, 2746696461456 is an apocalyptic number.

746696461456 is the 864116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746696461456

746696461456 is an abundant number, since it is smaller than the sum of its proper divisors (886645998153).

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

746696461456 is an equidigital number, since it uses as much as digits as its factorization.

746696461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 64.

Multiplying 746696461456 by its sum of digits (64), we get a square (47788573533184 = 69129282).

The spelling of 746696461456 in words is "seven hundred forty-six billion, six hundred ninety-six million, four hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 328 451 479 484 656 902 958 968 1681 1804 1916 1936 3362 3608 3832 4961 5269 6724 7216 7664 9922 10538 13448 18491 19639 19844 21076 26896 36982 39278 39688 42152 57959 73964 78556 79376 84304 115918 147928 157112 203401 216029 229441 231836 295856 314224 406802 432058 458882 463672 805199 813604 864116 917764 927344 1610398 1627208 1728232 1835528 2376319 2523851 3220796 3254416 3456464 3671056 4752638 5047702 6441592 8857189 9407081 9505276 10095404 12883184 17714378 18814162 19010552 20190808 27762361 35428756 37628324 38021104 40381616 55524722 70857512 75256648 97429079 103477891 111049444 141715024 150513296 194858158 206955782 222098888 385690321 389716316 413911564 444197776 771380642 779432632 827823128 1138256801 1542761284 1558865264 1655646256 2276513602 3085522568 4242593531 4553027204 6171045136 8485187062 9106054408 16970374124 18212108816 33940748248 46668528841 67881496496 93337057682 186674115364 373348230728 746696461456