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57603474396 = 2232131072334937
BaseRepresentation
bin110101101001011011…
…110100001111011100
312111200111002200122200
4311221123310033130
51420432442140041
642243534211500
74106316311406
oct655133641734
9174614080580
1057603474396
112247a728996
12b1b7353b90
1355800b9ac0
142b06499b76
1517721661b6
hexd696f43dc

57603474396 has 144 divisors (see below), whose sum is σ = 158986455264. Its totient is φ = 17479600128.

The previous prime is 57603474389. The next prime is 57603474421. The reversal of 57603474396 is 69347430675.

It is a happy number.

57603474396 is a `hidden beast` number, since 576 + 0 + 34 + 7 + 4 + 39 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11665240 + ... + 11670176.

It is an arithmetic number, because the mean of its divisors is an integer number (1104072606).

Almost surely, 257603474396 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 57603474396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79493227632).

57603474396 is an abundant number, since it is smaller than the sum of its proper divisors (101382980868).

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

57603474396 is a wasteful number, since it uses less digits than its factorization.

57603474396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 57603474396 in words is "fifty-seven billion, six hundred three million, four hundred seventy-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 233 234 321 428 466 468 642 699 932 963 1284 1391 1398 1926 2097 2782 2796 3029 3852 4173 4194 4937 5564 6058 8346 8388 9087 9874 12116 12519 14811 16692 18174 19748 24931 25038 27261 29622 36348 44433 49862 50076 54522 59244 64181 74793 88866 99724 109044 128362 149586 177732 192543 224379 256724 299172 324103 385086 448758 528259 577629 648206 770172 897516 972309 1056518 1150321 1155258 1296412 1584777 1944618 2113036 2300642 2310516 2916927 3169554 3450963 3889236 4601284 4754331 5833854 6339108 6867367 6901926 9508662 10352889 11667708 13734734 13803852 14954173 19017324 20602101 20705778 27469468 29908346 41204202 41411556 44862519 59816692 61806303 82408404 89725038 123084347 123612606 134587557 179450076 246168694 247225212 269175114 369253041 492337388 538350228 738506082 1107759123 1477012164 1600096511 2215518246 3200193022 4431036492 4800289533 6400386044 9600579066 14400868599 19201158132 28801737198 57603474396