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57272317740 = 22325113239053
BaseRepresentation
bin110101010101101100…
…100011011100101100
312110211101222012010100
4311111230203130230
51414243203131430
642151024311100
74065155445201
oct652554433454
9173741865110
1057272317740
112231a804000
12b124472490
135529600711
142ab44d5ca8
151753050960
hexd55b2372c

57272317740 has 144 divisors (see below), whose sum is σ = 191086380576. Its totient is φ = 13884140160.

The previous prime is 57272317721. The next prime is 57272317777. The reversal of 57272317740 is 4771327275.

57272317740 is a `hidden beast` number, since 572 + 7 + 2 + 3 + 1 + 7 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120054 + ... + 359106.

It is an arithmetic number, because the mean of its divisors is an integer number (1326988754).

Almost surely, 257272317740 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 57272317740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95543190288).

57272317740 is an abundant number, since it is smaller than the sum of its proper divisors (133814062836).

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

57272317740 is a wasteful number, since it uses less digits than its factorization.

57272317740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239101 (or 239074 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 57272317740 in words is "fifty-seven billion, two hundred seventy-two million, three hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2662 3630 3993 4356 5324 5445 6655 7260 7986 10890 11979 13310 15972 19965 21780 23958 26620 39930 47916 59895 79860 119790 239053 239580 478106 717159 956212 1195265 1434318 2151477 2390530 2629583 2868636 3585795 4302954 4781060 5259166 7171590 7888749 8605908 10518332 10757385 13147915 14343180 15777498 21514770 23666247 26295830 28925413 31554996 39443745 43029540 47332494 52591660 57850826 78887490 86776239 94664988 115701652 118331235 144627065 157774980 173552478 236662470 260328717 289254130 318179543 347104956 433881195 473324940 520657434 578508260 636359086 867762390 954538629 1041314868 1272718172 1301643585 1590897715 1735524780 1909077258 2603287170 2863615887 3181795430 3818154516 4772693145 5206574340 5727231774 6363590860 9545386290 11454463548 14318079435 19090772580 28636158870 57272317740