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147423745764 = 22348322572
BaseRepresentation
bin1000100101001100100…
…0111101011011100100
3112002112012210020110000
42021103020331123210
54403410434331024
6151420414301300
713436204106651
oct2112310753344
9462465706400
10147423745764
1157581952219
12246a3ab7830
1310b95901879
1471c7570c28
153c7c83ecc9
hex225323d6e4

147423745764 has 135 divisors (see below), whose sum is σ = 391617828217. Its totient is φ = 48360278016.

The previous prime is 147423745759. The next prime is 147423745783. The reversal of 147423745764 is 467547324741.

The square root of 147423745764 is 383958.

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

147423745764 is a `hidden beast` number, since 1 + 47 + 4 + 23 + 7 + 4 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145138140900 + 2285604864 = 380970^2 + 47808^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147423745764.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 573633124 + ... + 573633380.

Almost surely, 2147423745764 is an apocalyptic number.

147423745764 is the 383958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147423745764

147423745764 is an abundant number, since it is smaller than the sum of its proper divisors (244194082453).

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

147423745764 is an frugal number, since it uses more digits than its factorization.

147423745764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 345 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 54.

The spelling of 147423745764 in words is "one hundred forty-seven billion, four hundred twenty-three million, seven hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 257 324 332 498 514 747 771 996 1028 1494 1542 2241 2313 2988 3084 4482 4626 6723 6889 6939 8964 9252 13446 13778 13878 20667 20817 21331 26892 27556 27756 41334 41634 42662 62001 63993 66049 82668 83268 85324 124002 127986 132098 186003 191979 198147 248004 255972 264196 372006 383958 396294 558009 575937 594441 744012 767916 792588 1116018 1151874 1188882 1727811 1770473 1783323 2232036 2303748 2377764 3455622 3540946 3566646 5311419 5349969 5482067 6911244 7081892 7133292 10622838 10699938 10964134 15934257 16446201 21245676 21399876 21928268 31868514 32892402 47802771 49338603 63737028 65784804 95605542 98677206 143408313 148015809 191211084 197354412 286816626 296031618 444047427 455011561 573633252 592063236 888094854 910023122 1365034683 1776189708 1820046244 2730069366 4095104049 5460138732 8190208098 12285312147 16380416196 24570624294 36855936441 49141248588 73711872882 147423745764