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148564562140544 = 2711531993998917
BaseRepresentation
bin100001110001111001100001…
…111100111101110110000000
3201111000122002202220012202112
4201301321201330331312000
5123433040210401444134
61243545341225034452
743202302226233664
oct4161714174756600
9644018082805675
10148564562140544
1143378971292720
12147b4983325a28
1364b8769102644
1428987c54c68a4
15122978a09d1ce
hex871e61f3dd80

148564562140544 has 128 divisors (see below), whose sum is σ = 329132053378080. Its totient is φ = 66221897564160.

The previous prime is 148564562140483. The next prime is 148564562140601. The reversal of 148564562140544 is 445041265465841.

148564562140544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148226174 + ... + 149225090.

Almost surely, 2148564562140544 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 148564562140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164566026689040).

148564562140544 is an abundant number, since it is smaller than the sum of its proper divisors (180567491237536).

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

148564562140544 is a wasteful number, since it uses less digits than its factorization.

148564562140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000988 (or 1000976 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 59.

The spelling of 148564562140544 in words is "one hundred forty-eight trillion, five hundred sixty-four billion, five hundred sixty-two million, one hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1696 1993 2332 3392 3986 4664 6784 7972 9328 15944 18656 21923 31888 37312 43846 63776 74624 87692 105629 127552 175384 211258 255104 350768 422516 701536 845032 998917 1161919 1403072 1690064 1997834 2323838 2806144 3380128 3995668 4647676 6760256 7991336 9295352 10988087 13520512 15982672 18590704 21976174 31965344 37181408 43952348 52942601 63930688 74362816 87904696 105885202 127861376 148725632 175809392 211770404 351618784 423540808 582368611 703237568 847081616 1164737222 1406475136 1694163232 1990841581 2329474444 3388326464 3981683162 4658948888 6776652928 7963366324 9317897776 15926732648 18635795552 21899257391 31853465296 37271591104 43798514782 63706930592 74543182208 87597029564 105514603793 127413861184 175194059128 211029207586 254827722368 350388118256 422058415172 700776236512 844116830344 1160660641723 1401552473024 1688233660688 2321321283446 2803104946048 3376467321376 4642642566892 6752934642752 9285285133784 13505869285504 18570570267568 37141140535136 74282281070272 148564562140544