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58353438000 = 243531113232957
BaseRepresentation
bin110110010110001000…
…101100110100110000
312120121202021210022110
4312112020230310300
51424001440004000
642450204405320
74134024016254
oct662610546460
9176552253273
1058353438000
1122824aa3720
12b386546840
13566c5a0b50
142b77d1c264
1517b7e07850
hexd9622cd30

58353438000 has 640 divisors, whose sum is σ = 230709233664. Its totient is φ = 12486144000.

The previous prime is 58353437981. The next prime is 58353438029. The reversal of 58353438000 is 83435385.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 58353438000.

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, 19732522 + ... + 19735478.

Almost surely, 258353438000 is an apocalyptic number.

58353438000 is a gapful number since it is divisible by the number (50) 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 58353438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115354616832).

58353438000 is an abundant number, since it is smaller than the sum of its proper divisors (172355795664).

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

58353438000 is a wasteful number, since it uses less digits than its factorization.

58353438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 58353438000 in words is "fifty-eight billion, three hundred fifty-three million, four hundred thirty-eight thousand".