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70257424720 = 24572319128559
BaseRepresentation
bin100000101101110101…
…0110011100101010000
320201100100201222012111
41001123222303211100
52122341400042340
652135324235104
75035021154020
oct1013352634520
9221310658174
1070257424720
112788353707a
121174909ba94
136818889682
143586ca5a80
151c6300eaea
hex105bab3950

70257424720 has 160 divisors (see below), whose sum is σ = 195827466240. Its totient is φ = 22919508480.

The previous prime is 70257424669. The next prime is 70257424723. The reversal of 70257424720 is 2742475207.

It is a super-2 number, since 2×702574247202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70257424723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445801 + ... + 2474359.

It is an arithmetic number, because the mean of its divisors is an integer number (1223921664).

Almost surely, 270257424720 is an apocalyptic number.

70257424720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70257424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913733120).

70257424720 is an abundant number, since it is smaller than the sum of its proper divisors (125570041520).

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

70257424720 is a wasteful number, since it uses less digits than its factorization.

70257424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28793 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 40.

Adding to 70257424720 its reverse (2742475207), we get a palindrome (72999899927).

The spelling of 70257424720 in words is "seventy billion, two hundred fifty-seven million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 191 230 280 322 368 382 460 560 644 764 805 920 955 1288 1337 1528 1610 1840 1910 2576 2674 3056 3220 3820 4393 5348 6440 6685 7640 8786 10696 12880 13370 15280 17572 21392 21965 26740 28559 30751 35144 43930 53480 57118 61502 70288 87860 106960 114236 123004 142795 153755 175720 199913 228472 246008 285590 307510 351440 399826 456944 492016 571180 615020 656857 799652 999565 1142360 1230040 1313714 1599304 1999130 2284720 2460080 2627428 3198608 3284285 3998260 4597999 5254856 5454769 6568570 7996520 9195998 10509712 10909538 13137140 15993040 18391996 21819076 22989995 26274280 27273845 36783992 38183383 43638152 45979990 52548560 54547690 73567984 76366766 87276304 91959980 109095380 125459687 152733532 183919960 190916915 218190760 250919374 305467064 367839920 381833830 436381520 501838748 610934128 627298435 763667660 878217809 1003677496 1254596870 1527335320 1756435618 2007354992 2509193740 3054670640 3512871236 4391089045 5018387480 7025742472 8782178090 10036774960 14051484944 17564356180 35128712360 70257424720