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12345044992 = 2127557773
BaseRepresentation
bin10110111111101001…
…00111000000000000
31011212100101021002121
423133310213000000
5200240312414432
65400553054024
7614631102550
oct133764470000
934770337077
1012345044992
115265502025
1224863b7314
1312197a4567
14851799160
154c3bcb197
hex2dfd27000

12345044992 has 104 divisors (see below), whose sum is σ = 28301018976. Its totient is φ = 5274402816.

The previous prime is 12345044977. The next prime is 12345044993. The reversal of 12345044992 is 29944054321.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345044993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15969918 + ... + 15970690.

Almost surely, 212345044992 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 12345044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150509488).

12345044992 is an abundant number, since it is smaller than the sum of its proper divisors (15955973984).

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

12345044992 is an frugal number, since it uses more digits than its factorization.

12345044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 12345044992 in words is "twelve billion, three hundred forty-five million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 557 773 896 1024 1114 1546 1792 2048 2228 3092 3584 3899 4096 4456 5411 6184 7168 7798 8912 10822 12368 14336 15596 17824 21644 24736 28672 31192 35648 43288 49472 62384 71296 86576 98944 124768 142592 173152 197888 249536 285184 346304 395776 430561 499072 570368 692608 791552 861122 998144 1140736 1385216 1583104 1722244 1996288 2281472 2770432 3013927 3166208 3444488 3992576 5540864 6027854 6888976 7985152 11081728 12055708 13777952 15970304 22163456 24111416 27555904 48222832 55111808 96445664 110223616 192891328 220447232 385782656 440894464 771565312 881788928 1543130624 1763577856 3086261248 6172522496 12345044992