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58754040408 = 233271723397751
BaseRepresentation
bin110110101110000000…
…111000001001011000
312121122200002111111200
4312232000320021120
51430312013243113
642554034554200
74146660050310
oct665600701130
9177580074450
1058754040408
1122a10140198
12b478738960
1357045936ab
142bb51dc440
1517dd189873
hexdae038258

58754040408 has 384 divisors, whose sum is σ = 201701560320. Its totient is φ = 15054336000.

The previous prime is 58754040349. The next prime is 58754040409. The reversal of 58754040408 is 80404045785.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58754040409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78234033 + ... + 78234783.

It is an arithmetic number, because the mean of its divisors is an integer number (525264480).

Almost surely, 258754040408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58754040408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100850780160).

58754040408 is an abundant number, since it is smaller than the sum of its proper divisors (142947519912).

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

58754040408 is a wasteful number, since it uses less digits than its factorization.

58754040408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 58754040408 in words is "fifty-eight billion, seven hundred fifty-four million, forty thousand, four hundred eight".