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58005925020 = 223252385716349
BaseRepresentation
bin110110000001011011…
…000010110010011100
312112201112101022010100
4312001123002302130
51422244004100040
642351512141100
74122304141011
oct660133026234
9175645338110
1058005925020
112266691800a
12b2aa097790
1356155a8974
142b43adb708
151797660b30
hexd816c2c9c

58005925020 has 144 divisors (see below), whose sum is σ = 183826843200. Its totient is φ = 14777545728.

The previous prime is 58005924959. The next prime is 58005925031. The reversal of 58005925020 is 2052950085.

58005925020 is a `hidden beast` number, since 580 + 0 + 5 + 9 + 2 + 50 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3539806 + ... + 3556154.

It is an arithmetic number, because the mean of its divisors is an integer number (1276575300).

Almost surely, 258005925020 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 58005925020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91913421600).

58005925020 is an abundant number, since it is smaller than the sum of its proper divisors (125820918180).

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

58005925020 is a wasteful number, since it uses less digits than its factorization.

58005925020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 17239 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 58005925020 in words is "fifty-eight billion, five million, nine hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 857 1035 1380 1714 2070 2571 3428 4140 4285 5142 7713 8570 10284 12855 15426 16349 17140 19711 25710 30852 32698 38565 39422 49047 51420 59133 65396 77130 78844 81745 98094 98555 118266 147141 154260 163490 177399 196188 197110 236532 245235 294282 295665 326980 354798 376027 394220 490470 588564 591330 709596 735705 752054 886995 980940 1128081 1182660 1471410 1504108 1773990 1880135 2256162 2942820 3384243 3547980 3760270 4512324 5640405 6768486 7520540 11280810 13536972 14011093 16921215 22561620 28022186 33842430 42033279 56044372 67684860 70055465 84066558 126099837 140110930 168133116 210166395 252199674 280221860 322255139 420332790 504399348 630499185 644510278 840665580 966765417 1260998370 1289020556 1611275695 1933530834 2521996740 2900296251 3222551390 3867061668 4833827085 5800592502 6445102780 9667654170 11601185004 14501481255 19335308340 29002962510 58005925020