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22069776480 = 253561974279
BaseRepresentation
bin10100100011011101…
…100001000001100000
32002222002011210210220
4110203131201001200
5330144330321410
614045543523040
71410624001443
oct244335410140
962862153726
1022069776480
1193a58a47a4
12433b159480
132109442b4b
1410d514565a
15892813070
hex523761060

22069776480 has 96 divisors (see below), whose sum is σ = 69633043200. Its totient is φ = 5875686912.

The previous prime is 22069776437. The next prime is 22069776557. The reversal of 22069776480 is 8467796022.

It is a Cunningham number, because it is equal to 1485592-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220697764802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259981 + ... + 334259.

It is an arithmetic number, because the mean of its divisors is an integer number (725344200).

Almost surely, 222069776480 is an apocalyptic number.

22069776480 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 22069776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816521600).

22069776480 is an abundant number, since it is smaller than the sum of its proper divisors (47563266720).

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

22069776480 is a wasteful number, since it uses less digits than its factorization.

22069776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74916 (or 74908 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 22069776480 in words is "twenty-two billion, sixty-nine million, seven hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 619 1238 1857 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 18570 19808 24760 29712 37140 49520 59424 74279 74280 99040 148558 148560 222837 297116 297120 371395 445674 594232 742790 891348 1114185 1188464 1485580 1782696 2228370 2376928 2971160 3565392 4456740 5942320 7130784 8913480 11884640 17826960 35653920 45978701 91957402 137936103 183914804 229893505 275872206 367829608 459787010 551744412 689680515 735659216 919574020 1103488824 1379361030 1471318432 1839148040 2206977648 2758722060 3678296080 4413955296 5517444120 7356592160 11034888240 22069776480