Search a number
-
+
58498740960 = 253511233141379
BaseRepresentation
bin110110011110110010…
…111111001011100000
312120222212200221111120
4312132302333023200
51424301134202320
642512435012240
74140440044122
oct663662771340
9176885627446
1058498740960
112289a017a10
12b40713a080
135693716b2a
142b8d343212
1517c5a5a440
hexd9ecbf2e0

58498740960 has 768 divisors, whose sum is σ = 222396088320. Its totient is φ = 12773376000.

The previous prime is 58498740917. The next prime is 58498740977. The reversal of 58498740960 is 6904789485.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 58498740894 and 58498740903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154350051 + ... + 154350429.

It is an arithmetic number, because the mean of its divisors is an integer number (289578240).

Almost surely, 258498740960 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 58498740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111198044160).

58498740960 is an abundant number, since it is smaller than the sum of its proper divisors (163897347360).

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

58498740960 is a wasteful number, since it uses less digits than its factorization.

58498740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 58498740960 in words is "fifty-eight billion, four hundred ninety-eight million, seven hundred forty thousand, nine hundred sixty".