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57873145000 = 2354111955381
BaseRepresentation
bin110101111001100000…
…100001110010101000
312112101021112101011211
4311321200201302220
51422011011120000
642330410202504
74116102421156
oct657140416250
9175337471154
1057873145000
11225a8977460
12b271723434
1355c3c289c8
142b302163d6
15178ab837ba
hexd79821ca8

57873145000 has 160 divisors (see below), whose sum is σ = 155712031200. Its totient is φ = 19936800000.

The previous prime is 57873144997. The next prime is 57873145009. The reversal of 57873145000 is 54137875.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (57873145009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1017310 + ... + 1072690.

It is an arithmetic number, because the mean of its divisors is an integer number (973200195).

Almost surely, 257873145000 is an apocalyptic number.

57873145000 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 57873145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77856015600).

57873145000 is an abundant number, since it is smaller than the sum of its proper divisors (97838886200).

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

57873145000 is a wasteful number, since it uses less digits than its factorization.

57873145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55437 (or 55418 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 57873145000 in words is "fifty-seven billion, eight hundred seventy-three million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 625 760 836 950 1000 1045 1100 1250 1375 1672 1900 2090 2200 2375 2500 2750 3800 4180 4750 5000 5225 5500 6875 8360 9500 10450 11000 11875 13750 19000 20900 23750 26125 27500 41800 47500 52250 55000 55381 95000 104500 110762 130625 209000 221524 261250 276905 443048 522500 553810 609191 1045000 1052239 1107620 1218382 1384525 2104478 2215240 2436764 2769050 3045955 4208956 4873528 5261195 5538100 6091910 6922625 8417912 10522390 11076200 11574629 12183820 13845250 15229775 21044780 23149258 24367640 26305975 27690500 30459550 34613125 42089560 46298516 52611950 55381000 57873145 60919100 69226250 76148875 92597032 105223900 115746290 121838200 131529875 138452500 152297750 210447800 231492580 263059750 276905000 289365725 304595500 380744375 462985160 526119500 578731450 609191000 657649375 761488750 1052239000 1157462900 1315298750 1446828625 1522977500 2314925800 2630597500 2893657250 3045955000 5261195000 5787314500 7234143125 11574629000 14468286250 28936572500 57873145000