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57134272714420 = 225112291575185417
BaseRepresentation
bin11001111110110100111000…
…00001111001011010110100
321111021222112200220212110011
430333122130001321122310
524442041442303330140
6321303042245110004
715014546353060126
oct1477323401713264
9244258480825404
1057134272714420
1117228566507100
1264a90083b8304
1325b597b1aacc5
14101745656d216
156912d8366cea
hex33f69c0796b4

57134272714420 has 144 divisors (see below), whose sum is σ = 137297631053520. Its totient is φ = 19931909437440.

The previous prime is 57134272714397. The next prime is 57134272714427. The reversal of 57134272714420 is 2441727243175.

It can be written as a sum of positive squares in 8 ways, for example, as 1137127915044 + 55997144799376 = 1066362^2 + 7483124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57134272714427) 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, 8425552 + ... + 13610968.

It is an arithmetic number, because the mean of its divisors is an integer number (953455771205).

Almost surely, 257134272714420 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 57134272714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68648815526760).

57134272714420 is an abundant number, since it is smaller than the sum of its proper divisors (80163358339100).

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

57134272714420 is a wasteful number, since it uses less digits than its factorization.

57134272714420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185634 (or 5185621 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

Adding to 57134272714420 its reverse (2441727243175), we get a palindrome (59575999957595).

The spelling of 57134272714420 in words is "fifty-seven trillion, one hundred thirty-four billion, two hundred seventy-two million, seven hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 157 220 242 290 314 319 484 580 605 628 638 785 1210 1276 1570 1595 1727 2420 3140 3190 3454 3509 4553 6380 6908 7018 8635 9106 14036 17270 17545 18212 18997 22765 34540 35090 37994 45530 50083 70180 75988 91060 94985 100166 189970 200332 250415 379940 500830 550913 1001660 1101826 2203652 2754565 5185417 5509130 10370834 11018260 20741668 25927085 51854170 57039587 103708340 114079174 150377093 228158348 285197935 300754186 570395870 601508372 627435457 751885465 814110469 1140791740 1254870914 1503770930 1628220938 1654148023 2509741828 3007541860 3137177285 3256441876 3308296046 4070552345 6274354570 6616592092 8141104690 8270740115 8955215159 12548709140 16282209380 16541480230 17910430318 18195628253 23609203601 33082960460 35820860636 36391256506 44776075795 47218407202 72782513012 89552151590 90978141265 94436814404 98507366749 118046018005 179104303180 181956282530 197014733498 236092036010 259701239611 363912565060 394029466996 472184072020 492536833745 519402479222 985073667490 1038804958444 1298506198055 1970147334980 2597012396110 2856713635721 5194024792220 5713427271442 11426854542884 14283568178605 28567136357210 57134272714420