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21982042303824 = 2434117341644123
BaseRepresentation
bin1001111111110000101111…
…10100101010110101010000
32212211110111022201212112110
410333320113310222311100
510340123210312210244
6114430224423225320
74426102333436421
oct477702764526520
985743438655473
1021982042303824
11700559389a9a9
1225703255a8240
13c35b89309b85
1455dd17b73648
15281c0b5649b9
hex13fe17d2ad50

21982042303824 has 80 divisors (see below), whose sum is σ = 58175434908864. Its totient is φ = 7148208307200.

The previous prime is 21982042303799. The next prime is 21982042303853. The reversal of 21982042303824 is 42830324028912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33805027 + ... + 34449149.

Almost surely, 221982042303824 is an apocalyptic number.

21982042303824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21982042303824 is an abundant number, since it is smaller than the sum of its proper divisors (36193392605040).

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

21982042303824 is a wasteful number, since it uses less digits than its factorization.

21982042303824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661516 (or 661510 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 21982042303824 in words is "twenty-one trillion, nine hundred eighty-two billion, forty-two million, three hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 17341 34682 52023 69364 104046 138728 208092 277456 416184 644123 710981 832368 1288246 1421962 1932369 2132943 2576492 2843924 3864738 4265886 5152984 5687848 7729476 8531772 10305968 11375696 15458952 17063544 26409043 30917904 34127088 52818086 79227129 105636172 158454258 211272344 316908516 422544688 633817032 1267634064 11169736943 22339473886 33509210829 44678947772 67018421658 89357895544 134036843316 178715791088 268073686632 457959214663 536147373264 915918429326 1373877643989 1831836858652 2747755287978 3663673717304 5495510575956 7327347434608 10991021151912 21982042303824