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2122246246416 = 243193175065303
BaseRepresentation
bin11110111000011111101…
…110111101000000010000
321111212212222201121021020
4132320133232331000100
5234232330014341131
64302540234155440
7306220145311602
oct36703756750020
97455788647236
102122246246416
117490487520aa
122a337bb82b80
13125185c22b1a
1474a08271172
153a310287996
hex1ee1fbbd010

2122246246416 has 80 divisors (see below), whose sum is σ = 5957182525440. Its totient is φ = 648564209280.

The previous prime is 2122246246399. The next prime is 2122246246487. The reversal of 2122246246416 is 6146426422212.

It is a nude number because it is divisible by every one of its digits.

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, 37504380 + ... + 37560923.

It is an arithmetic number, because the mean of its divisors is an integer number (74464781568).

Almost surely, 22122246246416 is an apocalyptic number.

It is an amenable number.

2122246246416 is an abundant number, since it is smaller than the sum of its proper divisors (3834936279024).

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

2122246246416 is a wasteful number, since it uses less digits than its factorization.

2122246246416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75065364 (or 75065358 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The spelling of 2122246246416 in words is "two trillion, one hundred twenty-two billion, two hundred forty-six million, two hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 75065303 150130606 225195909 300261212 450391818 600522424 900783636 1201044848 1426240757 1801567272 2327024393 2852481514 3603134544 4278722271 4654048786 5704963028 6981073179 8557444542 9308097572 11409926056 13962146358 17114889084 18616195144 22819852112 27924292716 34229778168 37232390288 44213463467 55848585432 68459556336 88426926934 111697170864 132640390401 176853853868 265280780802 353707707736 530561561604 707415415472 1061123123208 2122246246416