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1944635210028 = 22327131121348563
BaseRepresentation
bin11100010011000101010…
…010100111100100101100
320212220102222020010000100
4130103011102213210230
5223330103103210103
64045204133231100
7260331605361150
oct34230522474454
96786388203010
101944635210028
1168a795974715
12274a72492490
131114bc201a14
146a199861060
15358b76755a3
hex1c4c54a792c

1944635210028 has 144 divisors (see below), whose sum is σ = 5665502658816. Its totient is φ = 550902867840.

The previous prime is 1944635210017. The next prime is 1944635210029. The reversal of 1944635210028 is 8200125364491.

1944635210028 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 635 + 2 + 1 + 0 + 0 + 2 + 8 = 666.

It is a super-2 number, since 2×19446352100282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1944635210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40019275 + ... + 40067837.

It is an arithmetic number, because the mean of its divisors is an integer number (39343768464).

Almost surely, 21944635210028 is an apocalyptic number.

1944635210028 is a gapful number since it is divisible by the number (18) 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 1944635210028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832751329408).

1944635210028 is an abundant number, since it is smaller than the sum of its proper divisors (3720867448788).

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

1944635210028 is a wasteful number, since it uses less digits than its factorization.

1944635210028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49924 (or 49919 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1944635210028 in words is "one trillion, nine hundred forty-four billion, six hundred thirty-five million, two hundred ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1213 1572 1834 2358 2426 2751 3639 3668 4716 4852 5502 7278 8253 8491 10917 11004 14556 16506 16982 21834 25473 33012 33964 43668 48563 50946 76419 97126 101892 145689 152838 158903 194252 291378 305676 317806 339941 437067 476709 582756 635612 679882 874134 953418 1019823 1112321 1359764 1430127 1748268 1906836 2039646 2224642 2860254 3059469 3336963 4079292 4449284 5720508 6118938 6361753 6673926 10010889 12237876 12723506 13347852 19085259 20021778 25447012 38170518 40043556 44532271 57255777 58906919 76341036 89064542 114511554 117813838 133596813 176720757 178129084 229023108 235627676 267193626 353441514 400790439 412348433 530162271 534387252 706883028 801580878 824696866 1060324542 1237045299 1603161756 1649393732 2120649084 2474090598 3711135897 4948181196 7422271794 7716806389 14844543588 15433612778 23150419167 30867225556 46300838334 54017644723 69451257501 92601676668 108035289446 138902515002 162052934169 216070578892 277805030004 324105868338 486158802507 648211736676 972317605014 1944635210028