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57274541040 = 24353119339887
BaseRepresentation
bin110101010101110101…
…000010001111110000
312110211120011010220210
4311111311002033300
51414244240303130
642151144104120
74065213365133
oct652565021760
9173746133823
1057274541040
1122320a92442
12b125165040
135529bcb692
142ab491421a
15175333e5b0
hexd55d423f0

57274541040 has 160 divisors (see below), whose sum is σ = 184232779776. Its totient is φ = 14703575040.

The previous prime is 57274541021. The next prime is 57274541063. The reversal of 57274541040 is 4014547275.

57274541040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2393212-1.

It is a self number, because there is not a number n which added to its sum of digits gives 57274541040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415977 + ... + 1455863.

Almost surely, 257274541040 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 57274541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92116389888).

57274541040 is an abundant number, since it is smaller than the sum of its proper divisors (126958238736).

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

57274541040 is a wasteful number, since it uses less digits than its factorization.

57274541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40127 (or 40121 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

The spelling of 57274541040 in words is "fifty-seven billion, two hundred seventy-four million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 193 240 248 310 372 386 465 496 579 620 744 772 930 965 1158 1240 1488 1544 1860 1930 2316 2480 2895 3088 3720 3860 4632 5790 5983 7440 7720 9264 11580 11966 15440 17949 23160 23932 29915 35898 39887 46320 47864 59830 71796 79774 89745 95728 119660 119661 143592 159548 179490 199435 239320 239322 287184 319096 358980 398870 478640 478644 598305 638192 717960 797740 957288 1196610 1236497 1435920 1595480 1914576 2393220 2472994 3190960 3709491 4786440 4945988 6182485 7418982 7698191 9572880 9891976 12364970 14837964 15396382 18547455 19783952 23094573 24729940 29675928 30792764 37094910 38490955 46189146 49459880 59351856 61585528 74189820 76981910 92378292 98919760 115472865 123171056 148379640 153963820 184756584 230945730 238643921 296759280 307927640 369513168 461891460 477287842 615855280 715931763 923782920 954575684 1193219605 1431863526 1847565840 1909151368 2386439210 2863727052 3579658815 3818302736 4772878420 5727454104 7159317630 9545756840 11454908208 14318635260 19091513680 28637270520 57274541040