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57424293090 = 2345471738719
BaseRepresentation
bin110101011110110000…
…010010110011100010
312111012222221100010000
4311132300102303202
51420101104334330
642214053520430
74102012303053
oct653660226342
9174188840100
1057424293090
112239857536a
12b167343116
135551c41768
142aca77672a
151761570560
hexd5ec12ce2

57424293090 has 160 divisors (see below), whose sum is σ = 158622520320. Its totient is φ = 14898992256.

The previous prime is 57424293083. The next prime is 57424293107. The reversal of 57424293090 is 9039242475.

57424293090 is a `hidden beast` number, since 57 + 424 + 2 + 93 + 0 + 90 = 666.

57424293090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6581751 + ... + 6590469.

It is an arithmetic number, because the mean of its divisors is an integer number (991390752).

Almost surely, 257424293090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57424293090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79311260160).

57424293090 is an abundant number, since it is smaller than the sum of its proper divisors (101198227230).

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

57424293090 is a wasteful number, since it uses less digits than its factorization.

57424293090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8949 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57424293090 in words is "fifty-seven billion, four hundred twenty-four million, two hundred ninety-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 173 235 270 282 346 405 423 470 519 705 810 846 865 1038 1269 1410 1557 1730 2115 2538 2595 3114 3807 4230 4671 5190 6345 7614 7785 8131 8719 9342 12690 14013 15570 16262 17438 19035 23355 24393 26157 28026 38070 40655 43595 46710 48786 52314 70065 73179 78471 81310 87190 121965 130785 140130 146358 156942 219537 235413 243930 261570 365895 392355 409793 439074 470826 658611 706239 731790 784710 819586 1097685 1177065 1229379 1317222 1412478 1508387 2048965 2195370 2354130 2458758 3016774 3293055 3531195 3688137 4097930 4525161 6146895 6586110 7062390 7376274 7541935 9050322 11064411 12293790 13575483 15083870 18440685 22128822 22625805 27150966 33193233 36881370 40726449 45251610 55322055 66386466 67877415 70894189 81452898 110644110 122179347 135754830 141788378 165966165 203632245 212682567 244358694 331932330 354470945 407264490 425365134 610896735 638047701 708941890 1063412835 1221793470 1276095402 1914143103 2126825670 3190238505 3828286206 5742429309 6380477010 9570715515 11484858618 19141431030 28712146545 57424293090