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287272554860 = 2251723315232381
BaseRepresentation
bin1000010111000101100…
…01110101000101101100
31000110111111222211021002
410023202301311011230
514201313233223420
6335545435455432
726516611266314
oct4134261650554
91013444884232
10287272554860
111009169603a5
1247812bb7578
1321122068895
14dc92a84444
157715149075
hex42e2c7516c

287272554860 has 96 divisors (see below), whose sum is σ = 642191239872. Its totient is φ = 107569602560.

The previous prime is 287272554851. The next prime is 287272554917. The reversal of 287272554860 is 68455272782.

It is a junction number, because it is equal to n+sod(n) for n = 287272554796 and 287272554805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120650870 + ... + 120653250.

It is an arithmetic number, because the mean of its divisors is an integer number (6689492082).

Almost surely, 2287272554860 is an apocalyptic number.

287272554860 is a gapful number since it is divisible by the number (20) 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 287272554860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321095619936).

287272554860 is an abundant number, since it is smaller than the sum of its proper divisors (354918685012).

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

287272554860 is a wasteful number, since it uses less digits than its factorization.

287272554860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 56.

The spelling of 287272554860 in words is "two hundred eighty-seven billion, two hundred seventy-two million, five hundred fifty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 1523 2330 2381 3046 3961 4660 4762 6092 7615 7922 9524 11905 15230 15844 19805 23810 25891 30460 39610 40477 47620 51782 79220 80954 103564 129455 161908 202385 258910 354859 404770 517820 554773 709718 809540 1109546 1419436 1774295 2219092 2773865 3548590 3626263 5547730 6032603 7097180 7252526 9431141 11095460 12065206 14505052 18131315 18862282 24130412 30163015 36262630 37724564 47155705 60326030 61646471 72525260 94311410 120652060 123292942 188622820 246585884 308232355 616464710 844919279 1232929420 1689838558 3379677116 4224596395 8449192790 14363627743 16898385580 28727255486 57454510972 71818138715 143636277430 287272554860