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58253180352 = 2631372239931
BaseRepresentation
bin110110010000001010…
…001111110111000000
312120100202122011200020
4312100022033313000
51423300303232402
642432223453440
74131365602023
oct662012176700
9176322564606
1058253180352
1122783446664
12b358a57280
135654899cb3
142b688a11ba
1517ae2018bc
hexd9028fdc0

58253180352 has 112 divisors (see below), whose sum is σ = 155965135872. Its totient is φ = 19187619840.

The previous prime is 58253180329. The next prime is 58253180369. The reversal of 58253180352 is 25308135285.

It is a happy number.

It is a super-2 number, since 2×582531803522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860827 + ... + 5870757.

It is an arithmetic number, because the mean of its divisors is an integer number (1392545856).

Almost surely, 258253180352 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 58253180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77982567936).

58253180352 is an abundant number, since it is smaller than the sum of its proper divisors (97711955520).

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

58253180352 is a wasteful number, since it uses less digits than its factorization.

58253180352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 58253180352 in words is "fifty-eight billion, two hundred fifty-three million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 223 274 411 446 548 669 822 892 1096 1338 1644 1784 2192 2676 3288 3568 4384 5352 6576 7136 8768 9931 10704 13152 14272 19862 21408 26304 29793 30551 39724 42816 59586 61102 79448 91653 119172 122204 158896 183306 238344 244408 317792 366612 476688 488816 635584 733224 953376 977632 1360547 1466448 1906752 1955264 2214613 2721094 2932896 4081641 4429226 5442188 5865792 6643839 8163282 8858452 10884376 13287678 16326564 17716904 21768752 26575356 32653128 35433808 43537504 53150712 65306256 70867616 87075008 106301424 130612512 141735232 212602848 261225024 303401981 425205696 606803962 910205943 1213607924 1820411886 2427215848 3640823772 4854431696 7281647544 9708863392 14563295088 19417726784 29126590176 58253180352