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53318094101776 = 247271236732
BaseRepresentation
bin11000001111110000101100…
…00011110001110100010000
320222210011022122121011201201
430013320112003301310100
523442030424042224101
6305221554433240544
714142051035061100
oct1407702603616420
9228704278534651
1053318094101776
1115a97093136589
125b914a1a03154
132399b4a93bc7a
14d24876767200
15626dd5307e01
hex307e160f1d10

53318094101776 has 135 divisors (see below), whose sum is σ = 121919298380613. Its totient is φ = 22522638539520.

The previous prime is 53318094101759. The next prime is 53318094101819. The reversal of 53318094101776 is 67710149081335.

The square root of 53318094101776 is 7301924.

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., 3455063088400 + 49863031013376 = 1858780^2 + 7061376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14516223076 + ... + 14516226748.

Almost surely, 253318094101776 is an apocalyptic number.

53318094101776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

53318094101776 is the 7301924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53318094101776

53318094101776 is an abundant number, since it is smaller than the sum of its proper divisors (68601204278837).

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

53318094101776 is an frugal number, since it uses more digits than its factorization.

53318094101776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 53318094101776 in words is "fifty-three trillion, three hundred eighteen billion, ninety-four million, one hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 497 568 784 994 1136 1988 3479 3673 3976 5041 6958 7346 7952 10082 13916 14692 20164 25711 27832 29384 35287 40328 51422 55664 58768 70574 80656 102844 141148 179977 205688 247009 260783 282296 359954 411376 494018 521566 564592 719908 988036 1043132 1439816 1825481 1976072 2086264 2879632 3650962 3952144 4172528 7301924 12778367 13490929 14603848 18515593 25556734 26981858 29207696 37031186 51113468 53963716 74062372 94436503 102226936 107927432 129609151 148124744 188873006 204453872 215854864 259218302 296249488 377746012 518436604 661055521 755492024 907264057 957855959 1036873208 1322111042 1510984048 1814528114 1915711918 2073746416 2644222084 3629056228 3831423836 5288444168 6704991713 7258112456 7662847672 10576888336 13409983426 14516224912 15325695344 26819966852 46934941991 53639933704 68007773089 93869883982 107279867408 136015546178 187739767964 272031092356 375479535928 476054411623 544062184712 750959071856 952108823246 1088124369424 1904217646492 3332380881361 3808435292984 6664761762722 7616870585968 13329523525444 26659047050888 53318094101776