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1108148138752 = 2837971398677
BaseRepresentation
bin10000001000000010110…
…001101011001100000000
310220221022202020002210111
4100020002301223030000
5121123441410420002
62205024244241104
7143026641523054
oct20100261531400
93827282202714
101108148138752
11397a6580a266
1215a9246a0194
1380661c18055
143b8c56d3c64
151dc5aeae3d7
hex10202c6b300

1108148138752 has 144 divisors (see below), whose sum is σ = 2311949022880. Its totient is φ = 529641897984.

The previous prime is 1108148138729. The next prime is 1108148138759. The reversal of 1108148138752 is 2578318418011.

It is a junction number, because it is equal to n+sod(n) for n = 1108148138696 and 1108148138705.

It is not an unprimeable number, because it can be changed into a prime (1108148138759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127706638 + ... + 127715314.

Almost surely, 21108148138752 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 1108148138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155974511440).

1108148138752 is an abundant number, since it is smaller than the sum of its proper divisors (1203800884128).

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

1108148138752 is an equidigital number, since it uses as much as digits as its factorization.

1108148138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 49.

The spelling of 1108148138752 in words is "one trillion, one hundred eight billion, one hundred forty-eight million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 97 128 139 148 194 256 278 296 388 556 592 776 1112 1184 1552 2224 2368 3104 3589 4448 4736 5143 6208 7178 8677 8896 9472 10286 12416 13483 14356 17354 17792 20572 24832 26966 28712 34708 35584 41144 53932 57424 69416 82288 107864 114848 138832 164576 215728 229696 277664 321049 329152 431456 459392 498871 555328 642098 658304 841669 862912 918784 997742 1110656 1206103 1284196 1316608 1683338 1725824 1995484 2221312 2412206 2568392 3366676 3451648 3990968 4824412 5136784 6733352 7981936 9648824 10273568 13466704 15963872 19297648 20547136 26933408 31141753 31927744 38595296 41094272 44625811 53866816 62283506 63855488 77190592 82188544 89251622 107733632 116991991 124567012 127710976 154381184 178503244 215467264 233983982 249134024 308762368 357006488 467967964 498268048 714012976 935935928 996536096 1428025952 1871871856 1993072192 2856051904 3743743712 3986144384 4328703667 5712103808 7487487424 7972288768 8657407334 11424207616 14974974848 17314814668 29949949696 34629629336 69259258672 138518517344 277037034688 554074069376 1108148138752