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58830643120 = 2451192761657
BaseRepresentation
bin110110110010100101…
…000101111110110000
312121212000020022200011
4312302211011332300
51430441121034440
643005412504304
74151610133654
oct666245057660
9177760208604
1058830643120
1122a4a400a17
12b49a31b094
135717404642
142bc145ca64
1517e4c6b9ea
hexdb2945fb0

58830643120 has 40 divisors (see below), whose sum is σ = 136794932064. Its totient is φ = 23529902592.

The previous prime is 58830643093. The next prime is 58830643129. The reversal of 58830643120 is 2134603885.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×588306431202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (58830643129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923332 + ... + 984988.

Almost surely, 258830643120 is an apocalyptic number.

It is an amenable number.

58830643120 is an abundant number, since it is smaller than the sum of its proper divisors (77964288944).

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

58830643120 is a wasteful number, since it uses less digits than its factorization.

58830643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73597 (or 73591 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 58830643120 in words is "fifty-eight billion, eight hundred thirty million, six hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11927 23854 47708 59635 61657 95416 119270 123314 190832 238540 246628 308285 477080 493256 616570 954160 986512 1233140 2466280 4932560 735383039 1470766078 2941532156 3676915195 5883064312 7353830390 11766128624 14707660780 29415321560 58830643120