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43120796688 = 2433859116201
BaseRepresentation
bin101000001010001100…
…110010010000010000
311010022011101102202000
4220022030302100100
51201302410443223
631450500154000
73054400503264
oct501214622020
9133264342660
1043120796688
1117318624862
128435098900
1340b27ac518
142130c5a0a4
1511c598c543
hexa0a332410

43120796688 has 80 divisors (see below), whose sum is σ = 123917812800. Its totient is φ = 14356742400.

The previous prime is 43120796683. The next prime is 43120796689. The reversal of 43120796688 is 88669702134.

43120796688 is a `hidden beast` number, since 431 + 2 + 0 + 79 + 66 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (43120796683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312988 + ... + 429188.

It is an arithmetic number, because the mean of its divisors is an integer number (1548972660).

Almost surely, 243120796688 is an apocalyptic number.

43120796688 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 43120796688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61958906400).

43120796688 is an abundant number, since it is smaller than the sum of its proper divisors (80797016112).

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

43120796688 is a wasteful number, since it uses less digits than its factorization.

43120796688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117077 (or 117065 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 43120796688 in words is "forty-three billion, one hundred twenty million, seven hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 859 1718 2577 3436 5154 6872 7731 10308 13744 15462 20616 23193 30924 41232 46386 61848 92772 116201 123696 185544 232402 348603 371088 464804 697206 929608 1045809 1394412 1859216 2091618 2788824 3137427 4183236 5577648 6274854 8366472 12549708 16732944 25099416 50198832 99816659 199633318 299449977 399266636 598899954 798533272 898349931 1197799908 1597066544 1796699862 2395599816 2695049793 3593399724 4791199632 5390099586 7186799448 10780199172 14373598896 21560398344 43120796688