Search a number
-
+
87741548944 = 24727121492
BaseRepresentation
bin101000110110111001…
…1011100100110010000
322101110212012111200221
41101231303130212100
52414143314031234
6104150301522424
76224213601100
oct1215563344620
9271425174627
1087741548944
11342358a9415
1215008573414
138373c669ca
144364da7200
152437e65eb4
hex146dcdc990

87741548944 has 135 divisors (see below), whose sum is σ = 201933931521. Its totient is φ = 36825075840.

The previous prime is 87741548941. The next prime is 87741548963. The reversal of 87741548944 is 44984514778.

It is a happy number.

The square root of 87741548944 is 296212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10279526544 + 77462022400 = 101388^2 + 278320^2 .

It is a super-2 number, since 2×877415489442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87741548941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 588869382 + ... + 588869530.

Almost surely, 287741548944 is an apocalyptic number.

87741548944 is the 296212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87741548944

87741548944 is an abundant number, since it is smaller than the sum of its proper divisors (114192382577).

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

87741548944 is an equidigital number, since it uses as much as digits as its factorization.

87741548944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 229 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The spelling of 87741548944 in words is "eighty-seven billion, seven hundred forty-one million, five hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 149 196 284 298 392 497 568 596 784 994 1043 1136 1192 1988 2086 2384 3479 3976 4172 5041 6958 7301 7952 8344 10082 10579 13916 14602 16688 20164 21158 22201 27832 29204 35287 40328 42316 44402 55664 58408 70574 74053 80656 84632 88804 116816 141148 148106 155407 169264 177608 247009 282296 296212 310814 355216 494018 518371 564592 592424 621628 751109 988036 1036742 1087849 1184848 1243256 1502218 1576271 1976072 2073484 2175698 2486512 3004436 3152542 3952144 4146968 4351396 5257763 6008872 6305084 8293936 8702792 10515526 11033897 12017744 12610168 17405584 21031052 22067794 25220336 36804341 42062104 44135588 73608682 77237279 84124208 88271176 111915241 147217364 154474558 176542352 223830482 294434728 308949116 447660964 588869456 617898232 783406687 895321928 1235796464 1566813374 1790643856 3133626748 5483846809 6267253496 10967693618 12534506992 21935387236 43870774472 87741548944