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542035116252 = 223372711442611
BaseRepresentation
bin1111110001100111100…
…11111000000011011100
31220211002100200212102000
413320303303320003130
532340041442210002
61053001341402300
754106064316600
oct7706363700334
91824070625360
10542035116252
1119996a7684a3
1289072569390
133c162a21326
141c33dbcb500
15e17611761c
hex7e33cf80dc

542035116252 has 144 divisors (see below), whose sum is σ = 1657734301440. Its totient is φ = 152685842400.

The previous prime is 542035116229. The next prime is 542035116257. The reversal of 542035116252 is 252611530245.

542035116252 is a `hidden beast` number, since 5 + 4 + 20 + 3 + 5 + 1 + 1 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542035116257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345574 + ... + 1097037.

It is an arithmetic number, because the mean of its divisors is an integer number (11512043760).

Almost surely, 2542035116252 is an apocalyptic number.

It is an amenable number.

542035116252 is an abundant number, since it is smaller than the sum of its proper divisors (1115699185188).

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

542035116252 is a wasteful number, since it uses less digits than its factorization.

542035116252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442709 (or 1442694 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 542035116252 its reverse (252611530245), we get a palindrome (794646646497).

The spelling of 542035116252 in words is "five hundred forty-two billion, thirty-five million, one hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 84 98 108 126 142 147 189 196 213 252 284 294 378 426 441 497 588 639 756 852 882 994 1278 1323 1491 1764 1917 1988 2556 2646 2982 3479 3834 4473 5292 5964 6958 7668 8946 10437 13419 13916 17892 20874 26838 31311 41748 53676 62622 93933 125244 187866 375732 1442611 2885222 4327833 5770444 8655666 10098277 12983499 17311332 20196554 25966998 30294831 38950497 40393108 51933996 60589662 70687939 77900994 90884493 102425381 121179324 141375878 155801988 181768986 204850762 212063817 272653479 282751756 307276143 363537972 409701524 424127634 545306958 614552286 636191451 716977667 848255268 921828429 1090613916 1229104572 1272382902 1433955334 1843656858 1908574353 2150933001 2544765804 2765485287 2867910668 3687313716 3817148706 4301866002 5018843669 5530970574 6452799003 7634297412 8603732004 10037687338 11061941148 12905598006 15056531007 19358397009 20075374676 25811196012 30113062014 38716794018 45169593021 60226124028 77433588036 90339186042 135508779063 180678372084 271017558126 542035116252