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21980408590 = 25719136112143
BaseRepresentation
bin10100011110001000…
…100110101100001110
32002201212000110010001
4110132020212230032
5330003441033330
614033032234514
71405460250610
oct243610465416
962655013101
1021980408590
11935a405338
12431523ba3a
1320c3a8283a
1410c7320db0
15889a5d9ca
hex51e226b0e

21980408590 has 64 divisors (see below), whose sum is σ = 47635568640. Its totient is φ = 7133667840.

The previous prime is 21980408581. The next prime is 21980408617. The reversal of 21980408590 is 9580408912.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 21980408590.

It is a congruent number.

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, 1804059 + ... + 1816201.

It is an arithmetic number, because the mean of its divisors is an integer number (744305760).

Almost surely, 221980408590 is an apocalyptic number.

21980408590 is an abundant number, since it is smaller than the sum of its proper divisors (25655160050).

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

21980408590 is a wasteful number, since it uses less digits than its factorization.

21980408590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537.

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 21980408590 in words is "twenty-one billion, nine hundred eighty million, four hundred eight thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 1361 2722 6805 9527 12143 13610 19054 24286 25859 47635 51718 60715 85001 95270 121430 129295 170002 181013 230717 258590 362026 425005 461434 850010 905065 1153585 1615019 1810130 2307170 3230038 8075095 16150190 16526623 33053246 82633115 115686361 165266230 231372722 314005837 578431805 628011674 1156863610 1570029185 2198040859 3140058370 4396081718 10990204295 21980408590