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57117452490 = 23257192251143
BaseRepresentation
bin110101001100011101…
…110010100011001010
312110102121120012221100
4311030131302203022
51413434031434430
642123413122230
74061265223050
oct651435624312
9173377505840
1057117452490
112225034949a
12b0a0629376
1355034ba187
142a9bb021d0
15174465e960
hexd4c7728ca

57117452490 has 144 divisors (see below), whose sum is σ = 179123937408. Its totient is φ = 12368241216.

The previous prime is 57117452461. The next prime is 57117452519. The reversal of 57117452490 is 9425471175.

57117452490 is a `hidden beast` number, since 5 + 7 + 117 + 4 + 524 + 9 + 0 = 666.

57117452490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57117452461) and next prime (57117452519).

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 71 ways as a sum of consecutive naturals, for example, 101859 + ... + 353001.

It is an arithmetic number, because the mean of its divisors is an integer number (1243916232).

Almost surely, 257117452490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57117452490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89561968704).

57117452490 is an abundant number, since it is smaller than the sum of its proper divisors (122006484918).

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

57117452490 is a wasteful number, since it uses less digits than its factorization.

57117452490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251201 (or 251179 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 57117452490 in words is "fifty-seven billion, one hundred seventeen million, four hundred fifty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 361 399 570 630 665 722 798 855 1083 1197 1330 1710 1805 1995 2166 2394 2527 3249 3610 3990 5054 5415 5985 6498 7581 10830 11970 12635 15162 16245 22743 25270 32490 37905 45486 75810 113715 227430 251143 502286 753429 1255715 1506858 1758001 2260287 2511430 3516002 3767145 4520574 4771717 5274003 7534290 8790005 9543434 10548006 11301435 14315151 15822009 17580010 22602870 23858585 26370015 28630302 31644018 33402019 42945453 47717170 52740030 66804038 71575755 79110045 85890906 90662623 100206057 143151510 158220090 167010095 181325246 200412114 214727265 271987869 300618171 334020190 429454530 453313115 501030285 543975738 601236342 634638361 815963607 906626230 1002060570 1269276722 1359939345 1503090855 1631927214 1903915083 2719878690 3006181710 3173191805 3807830166 4079818035 5711745249 6346383610 8159636070 9519575415 11423490498 19039150830 28558726245 57117452490