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43468608768 = 2831337117671
BaseRepresentation
bin101000011110111011…
…100101010100000000
311011012101212010012220
4220132323211110000
51203010430440033
631545203051040
73066123035544
oct503673452400
9134171763186
1043468608768
1117486995162
128511670a80
13413987a8a0
142165117a24
1511e6292bb3
hexa1eee5500

43468608768 has 144 divisors (see below), whose sum is σ = 127957474176. Its totient is φ = 13013360640.

The previous prime is 43468608763. The next prime is 43468608791. The reversal of 43468608768 is 86780686434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43468608761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310573 + ... + 428243.

Almost surely, 243468608768 is an apocalyptic number.

43468608768 is a gapful number since it is divisible by the number (48) 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 43468608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63978737088).

43468608768 is an abundant number, since it is smaller than the sum of its proper divisors (84488865408).

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

43468608768 is a wasteful number, since it uses less digits than its factorization.

43468608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117740 (or 117726 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 43468608768 in words is "forty-three billion, four hundred sixty-eight million, six hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 7104 7696 9472 9984 11544 14208 15392 23088 28416 30784 46176 61568 92352 117671 123136 184704 235342 353013 369408 470684 706026 941368 1412052 1529723 1882736 2824104 3059446 3765472 4353827 4589169 5648208 6118892 7530944 8707654 9178338 11296416 12237784 13061481 15061888 17415308 18356676 22592832 24475568 26122962 30123776 34830616 36713352 45185664 48951136 52245924 56599751 69661232 73426704 90371328 97902272 104491848 113199502 139322464 146853408 169799253 195804544 208983696 226399004 278644928 293706816 339598506 391609088 417967392 452798008 557289856 587413632 679197012 835934784 905596016 1114579712 1174827264 1358394024 1671869568 1811192032 2716788048 3343739136 3622384064 5433576096 7244768128 10867152192 14489536256 21734304384 43468608768