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58344384420 = 223257220720981
BaseRepresentation
bin110110010101100110…
…001010011110100100
312120121010020211010200
4312111212022132210
51423442130300140
642445242350500
74133554041060
oct662546123644
9176533224120
1058344384420
112281a97a623
12b3834bb430
13566a750cba
142b76a42aa0
1517b721a030
hexd9598a7a4

58344384420 has 144 divisors (see below), whose sum is σ = 202361822208. Its totient is φ = 13329181440.

The previous prime is 58344384347. The next prime is 58344384443. The reversal of 58344384420 is 2448344385.

It is a happy number.

58344384420 is a `hidden beast` number, since 583 + 4 + 4 + 3 + 8 + 44 + 20 = 666.

58344384420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770330 + ... + 2791310.

It is an arithmetic number, because the mean of its divisors is an integer number (1405290432).

Almost surely, 258344384420 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 58344384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101180911104).

58344384420 is an abundant number, since it is smaller than the sum of its proper divisors (144017437788).

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

58344384420 is a wasteful number, since it uses less digits than its factorization.

58344384420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23210 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 58344384420 in words is "fifty-eight billion, three hundred forty-four million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2207 4414 6621 8828 11035 13242 15449 19863 20981 22070 26484 30898 33105 39726 41962 44140 46347 61796 62943 66210 77245 79452 83924 92694 99315 104905 125886 132420 139041 146867 154490 185388 188829 198630 209810 231735 251772 278082 293734 308980 314715 377658 397260 419620 440601 463470 556164 587468 629430 695205 734335 755316 881202 926940 944145 1258860 1321803 1390410 1468670 1762404 1888290 2203005 2643606 2780820 2937340 3776580 4406010 5287212 6609015 8812020 13218030 26436060 46305067 92610134 138915201 185220268 231525335 277830402 324135469 416745603 463050670 555660804 648270938 694576005 833491206 926101340 972406407 1296541876 1389152010 1620677345 1666982412 1944812814 2083728015 2778304020 2917219221 3241354690 3889625628 4167456030 4862032035 5834438442 6482709380 8334912060 9724064070 11668876884 14586096105 19448128140 29172192210 58344384420