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580034386700 = 225259897731429
BaseRepresentation
bin10000111000011001011…
…11100101101100001100
32001110011121000210220222
420130030233211230030
534000402300333300
61122244125530512
756622535636616
oct10341457455414
92043147023828
10580034386700
11203a9a32083a
12944b8413a38
134290a432442
142010678ddb6
151014c145785
hex870cbe5b0c

580034386700 has 144 divisors (see below), whose sum is σ = 1296971676000. Its totient is φ = 225069250560.

The previous prime is 580034386697. The next prime is 580034386727. The reversal of 580034386700 is 7683430085.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405901586 + ... + 405903014.

It is an arithmetic number, because the mean of its divisors is an integer number (9006747750).

Almost surely, 2580034386700 is an apocalyptic number.

580034386700 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 580034386700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648485838000).

580034386700 is an abundant number, since it is smaller than the sum of its proper divisors (716937289300).

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

580034386700 is a wasteful number, since it uses less digits than its factorization.

580034386700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 580034386700 in words is "five hundred eighty billion, thirty-four million, three hundred eighty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 59 89 100 118 178 236 295 356 445 590 773 890 1180 1429 1475 1546 1780 2225 2858 2950 3092 3865 4450 5251 5716 5900 7145 7730 8900 10502 14290 15460 19325 21004 26255 28580 35725 38650 45607 52510 68797 71450 77300 84311 91214 105020 127181 131275 137594 142900 168622 182428 228035 254362 262550 275188 337244 343985 421555 456070 508724 525100 635905 687970 843110 912140 1104617 1140175 1271810 1375940 1686220 1719925 2107775 2209234 2280350 2543620 3179525 3439850 4059023 4215550 4418468 4560700 5523085 6359050 6879700 7503679 8118046 8431100 11046170 12718100 15007358 16236092 20295115 22092340 27615425 30014716 37518395 40590230 55230850 65172403 75036790 81180460 98310913 101475575 110461700 130344806 150073580 187591975 196621826 202951150 260689612 325862015 375183950 393243652 405902300 491554565 651724030 750367900 983109130 1303448060 1629310075 1966218260 2457772825 3258620150 4915545650 5800343867 6517240300 9831091300 11600687734 23201375468 29001719335 58003438670 116006877340 145008596675 290017193350 580034386700