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22077133306640 = 2451914524429807
BaseRepresentation
bin1010000010100001110111…
…01100000011101100010000
32220011112221101020022121122
411001100323230003230100
510343202432111303030
6114542032305341412
74436006641560656
oct501207354035420
986145841208548
1022077133306640
117041950224835
122586843337868
13c41b31aa1249
14564778c60dd6
152844248218e5
hex14143bb03b10

22077133306640 has 40 divisors (see below), whose sum is σ = 54030878885760. Its totient is φ = 8366071568256.

The previous prime is 22077133306639. The next prime is 22077133306661. The reversal of 22077133306640 is 4660333177022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22077133306591 and 22077133306600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7262213384 + ... + 7262216423.

It is an arithmetic number, because the mean of its divisors is an integer number (1350771972144).

Almost surely, 222077133306640 is an apocalyptic number.

22077133306640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22077133306640 is an abundant number, since it is smaller than the sum of its proper divisors (31953745579120).

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

22077133306640 is a wasteful number, since it uses less digits than its factorization.

22077133306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524429839 (or 14524429833 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 44.

The spelling of 22077133306640 in words is "twenty-two trillion, seventy-seven billion, one hundred thirty-three million, three hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 14524429807 29048859614 58097719228 72622149035 116195438456 145244298070 232390876912 275964166333 290488596140 551928332666 580977192280 1103856665332 1161954384560 1379820831665 2207713330664 2759641663330 4415426661328 5519283326660 11038566653320 22077133306640