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2123445233232 = 2432412291570577
BaseRepresentation
bin11110111001100111001…
…100101110011001010000
321111222222112211102222100
4132321213030232121100
5234242303434430412
64303255224440400
7306261644450151
oct36714714563120
97458875742870
102123445233232
117496035266a4
122a3655619100
1312531745108b
1474abd5b9928
153a380672edc
hex1ee6732e650

2123445233232 has 120 divisors (see below), whose sum is σ = 6114228742440. Its totient is φ = 687535349760.

The previous prime is 2123445233197. The next prime is 2123445233251. The reversal of 2123445233232 is 2323325443212.

2123445233232 is a `hidden beast` number, since 2 + 1 + 2 + 344 + 52 + 33 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 203180971536 + 1920264261696 = 450756^2 + 1385736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566728 + ... + 2137304.

It is an arithmetic number, because the mean of its divisors is an integer number (50951906187).

Almost surely, 22123445233232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123445233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057114371220).

2123445233232 is an abundant number, since it is smaller than the sum of its proper divisors (3990783509208).

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

2123445233232 is a wasteful number, since it uses less digits than its factorization.

2123445233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570861 (or 1570852 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The spelling of 2123445233232 in words is "two trillion, one hundred twenty-three billion, four hundred forty-five million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 229 246 328 369 458 492 656 687 738 916 984 1374 1476 1832 1968 2061 2748 2952 3664 4122 5496 5904 8244 9389 10992 16488 18778 28167 32976 37556 56334 75112 84501 112668 150224 169002 225336 338004 450672 676008 1352016 1570577 3141154 4711731 6282308 9423462 12564616 14135193 18846924 25129232 28270386 37693848 56540772 64393657 75387696 113081544 128787314 193180971 226163088 257574628 359662133 386361942 515149256 579542913 719324266 772723884 1030298512 1078986399 1159085826 1438648532 1545447768 2157972798 2318171652 2877297064 3090895536 3236959197 4315945596 4636343304 5754594128 6473918394 8631891192 9272686608 12947836788 14746147453 17263782384 25895673576 29492294906 44238442359 51791347152 58984589812 88476884718 117969179624 132715327077 176953769436 235938359248 265430654154 353907538872 530861308308 707815077744 1061722616616 2123445233232