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44731476003104 = 2511733697470867
BaseRepresentation
bin10100010101110110110111…
…01111001100100100100000
312212101021202110202201222022
422022323123233030210200
521330340030324044404
6235045204551401012
712264512450353232
oct1212733357144440
9185337673681868
1044731476003104
1113286570069340
125025314983168
131bc6210934a27
14b0902d1c2252
1552887d2628be
hex28aedbbcc920

44731476003104 has 96 divisors (see below), whose sum is σ = 97413601271616. Its totient is φ = 20048494878720.

The previous prime is 44731476003101. The next prime is 44731476003113. The reversal of 44731476003104 is 40130067413744.

44731476003104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (44731476003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94762679 + ... + 95233545.

It is an arithmetic number, because the mean of its divisors is an integer number (1014725013246).

Almost surely, 244731476003104 is an apocalyptic number.

44731476003104 is a gapful number since it is divisible by the number (44) 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 44731476003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706800635808).

44731476003104 is an abundant number, since it is smaller than the sum of its proper divisors (52682125268512).

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

44731476003104 is a wasteful number, since it uses less digits than its factorization.

44731476003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474658 (or 474650 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 44731476003104 in words is "forty-four trillion, seven hundred thirty-one billion, four hundred seventy-six million, three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3212 3697 6424 7394 12848 14788 25696 29576 40667 59152 81334 118304 162668 269881 325336 470867 539762 650672 941734 1079524 1301344 1883468 2159048 2968691 3766936 4318096 5179537 5937382 7533872 8636192 10359074 11874764 15067744 20718148 23749528 34373291 41436296 47499056 68746582 82872592 94998112 137493164 165745184 274986328 378106201 549972656 756212402 1099945312 1512424804 1740795299 3024849608 3481590598 6049699216 6963181196 12099398432 13926362392 19148748289 27852724784 38297496578 55705449568 76594993156 127078056827 153189986312 254156113654 306379972624 508312227308 612759945248 1016624454616 1397858625097 2033248909232 2795717250194 4066497818464 5591434500388 11182869000776 22365738001552 44731476003104