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58372412160 = 283520117559
BaseRepresentation
bin110110010111010001…
…000101001100000000
312120200001222202222010
4312113101011030000
51424021314142120
642452123212520
74134344213436
oct662721051400
9176601882863
1058372412160
1122834783247
12b390977140
1356734b536a
142b7a65ad56
1517b99047e0
hexd97445300

58372412160 has 144 divisors (see below), whose sum is σ = 186544270080. Its totient is φ = 15556177920.

The previous prime is 58372412141. The next prime is 58372412167. The reversal of 58372412160 is 6121427385.

It is not an unprimeable number, because it can be changed into a prime (58372412167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7718461 + ... + 7726019.

It is an arithmetic number, because the mean of its divisors is an integer number (1295446320).

Almost surely, 258372412160 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 58372412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93272135040).

58372412160 is an abundant number, since it is smaller than the sum of its proper divisors (128171857920).

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

58372412160 is a wasteful number, since it uses less digits than its factorization.

58372412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 58372412160 in words is "fifty-eight billion, three hundred seventy-two million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2011 3840 4022 6033 7559 8044 10055 12066 15118 16088 20110 22677 24132 30165 30236 32176 37795 40220 45354 48264 60330 60472 64352 75590 80440 90708 96528 113385 120660 120944 128704 151180 160880 181416 193056 226770 241320 241888 257408 302360 321760 362832 386112 453540 482640 483776 514816 604720 643520 725664 772224 907080 965280 967552 1209440 1287040 1451328 1544448 1814160 1930560 1935104 2418880 2574080 2902656 3628320 3861120 4837760 5805312 7256640 7722240 9675520 14513280 15201149 29026560 30402298 45603447 60804596 76005745 91206894 121609192 152011490 182413788 228017235 243218384 304022980 364827576 456034470 486436768 608045960 729655152 912068940 972873536 1216091920 1459310304 1824137880 1945747072 2432183840 2918620608 3648275760 3891494144 4864367680 5837241216 7296551520 9728735360 11674482432 14593103040 19457470720 29186206080 58372412160