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53037518085144 = 23338910861254021
BaseRepresentation
bin11000000111100110000100…
…11011001101110000011000
320221210100002211022201222000
430003303002123031300120
523422431314112211034
6304445033251401000
714112556066222515
oct1403630233156030
9227710084281860
1053037518085144
11159990a33014aa
125b470395b3160
132379555068958
14d1505b20830c
1561e963033599
hex303cc26cdc18

53037518085144 has 128 divisors (see below), whose sum is σ = 148996096056000. Its totient is φ = 17478852019200.

The previous prime is 53037518085143. The next prime is 53037518085197. The reversal of 53037518085144 is 44158081573035.

53037518085144 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 7 + 518 + 0 + 85 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53037518085143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208664854 + ... + 208918874.

Almost surely, 253037518085144 is an apocalyptic number.

53037518085144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53037518085144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74498048028000).

53037518085144 is an abundant number, since it is smaller than the sum of its proper divisors (95958577970856).

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

53037518085144 is a wasteful number, since it uses less digits than its factorization.

53037518085144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264986 (or 264976 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 53037518085144 in words is "fifty-three trillion, thirty-seven billion, five hundred eighteen million, eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 10861 19224 21722 32583 43444 65166 86888 97749 130332 195498 254021 260664 293247 390996 508042 586494 762063 781992 966629 1016084 1172988 1524126 1933258 2032168 2286189 2345976 2899887 3048252 3866516 4572378 5799774 6096504 6858567 7733032 8699661 9144756 11599548 13717134 17399322 18289512 22607869 23199096 26098983 27434268 34798644 45215738 52197966 54868536 67823607 69597288 90431476 104395932 135647214 180862952 203470821 208791864 271294428 406941642 542588856 610412463 813883284 1220824926 1627766568 2441649852 2758922081 4883299704 5517844162 8276766243 11035688324 16553532486 22071376648 24830298729 33107064972 49660597458 66214129944 74490896187 99321194916 148981792374 198642389832 245544065209 297963584748 491088130418 595927169496 736632195627 982176260836 1473264391254 1964352521672 2209896586881 2946528782508 4419793173762 5893057565016 6629689760643 8839586347524 13259379521286 17679172695048 26518759042572 53037518085144