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53679732595040 = 2551729771188223
BaseRepresentation
bin11000011010010010010010…
…11001001001100101100000
321001001201202212020002102202
430031021021121021211200
524013442043021020130
6310100043445232332
714210142546412436
oct1415111131114540
9231051685202382
1053679732595040
11161164a0693102
12602b5a9a026a8
1323c4c917ba5a6
14d38181bd2d56
156314edebe145
hex30d249649960

53679732595040 has 144 divisors (see below), whose sum is σ = 134855092173312. Its totient is φ = 20188138930176.

The previous prime is 53679732594997. The next prime is 53679732595043. The reversal of 53679732595040 is 4059523797635.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53679732595043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44582369 + ... + 45770591.

It is an arithmetic number, because the mean of its divisors is an integer number (936493695648).

Almost surely, 253679732595040 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 53679732595040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67427546086656).

53679732595040 is an abundant number, since it is smaller than the sum of its proper divisors (81175359578272).

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

53679732595040 is a wasteful number, since it uses less digits than its factorization.

53679732595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189249 (or 1189224 counting only the distinct ones).

The product of its (nonzero) digits is 214326000, while the sum is 65.

The spelling of 53679732595040 in words is "fifty-three trillion, six hundred seventy-nine billion, seven hundred thirty-two million, five hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 977 1156 1360 1445 1954 2312 2720 2890 3908 4624 4885 5780 7816 9248 9770 11560 15632 16609 19540 23120 31264 33218 39080 46240 66436 78160 83045 132872 156320 166090 265744 282353 332180 531488 564706 664360 1129412 1188223 1328720 1411765 2258824 2376446 2657440 2823530 4517648 4752892 5647060 5941115 9035296 9505784 11294120 11882230 19011568 20199791 22588240 23764460 38023136 40399582 45176480 47528920 80799164 95057840 100998955 161598328 190115680 201997910 323196656 343396447 403995820 646393312 686792894 807991640 1160893871 1373585788 1615983280 1716982235 2321787742 2747171576 3231966560 3433964470 4643575484 5494343152 5804469355 6867928940 9287150968 10988686304 11608938710 13735857880 18574301936 19735195807 23217877420 27471715760 37148603872 39470391614 46435754840 54943431520 78940783228 92871509680 98675979035 157881566456 185743019360 197351958070 315763132912 335498328719 394703916140 631526265824 670996657438 789407832280 1341993314876 1578815664560 1677491643595 2683986629752 3157631329120 3354983287190 5367973259504 6709966574380 10735946519008 13419933148760 26839866297520 53679732595040