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43137628416 = 283243272
BaseRepresentation
bin101000001011001100…
…111111100100000000
311010100100001120112100
4220023030333210000
51201321213102131
631452301030400
73054663535341
oct501314774400
9133310046470
1043137628416
1117327080783
12843a855400
1340b612381c
14213319c0c8
1511c71b47e6
hexa0b33f900

43137628416 has 81 divisors (see below), whose sum is σ = 124405168251. Its totient is φ = 14375886336.

The previous prime is 43137628393. The next prime is 43137628427. The reversal of 43137628416 is 61482673134.

The square root of 43137628416 is 207696.

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

43137628416 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 7 + 628 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9967245 + ... + 9971571.

Almost surely, 243137628416 is an apocalyptic number.

43137628416 is the 207696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43137628416

43137628416 is an abundant number, since it is smaller than the sum of its proper divisors (81267539835).

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

43137628416 is an frugal number, since it uses more digits than its factorization.

43137628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 4332 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 43137628416 in words is "forty-three billion, one hundred thirty-seven million, six hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4327 8654 12981 17308 25962 34616 38943 51924 69232 77886 103848 138464 155772 207696 276928 311544 415392 553856 623088 830784 1107712 1246176 1661568 2492352 3323136 4984704 9969408 18722929 37445858 56168787 74891716 112337574 149783432 168506361 224675148 299566864 337012722 449350296 599133728 674025444 898700592 1198267456 1348050888 1797401184 2396534912 2696101776 3594802368 4793069824 5392203552 7189604736 10784407104 14379209472 21568814208 43137628416