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2374985680 = 2451741191223
BaseRepresentation
bin1000110110001111…
…0110011111010000
320010111221202212121
42031203312133100
514330444020210
61031400104024
7112566021334
oct21543663720
96114852777
102374985680
111009687991
12563465014
132bb06b092
141875cb7c4
15dd7846da
hex8d8f67d0

2374985680 has 160 divisors (see below), whose sum is σ = 6047612928. Its totient is φ = 863846400.

The previous prime is 2374985659. The next prime is 2374985707. The reversal of 2374985680 is 865894732.

It is a congruent number.

It is an unprimeable number.

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, 10650049 + ... + 10650271.

Almost surely, 22374985680 is an apocalyptic number.

2374985680 is a gapful number since it is divisible by the number (20) 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 2374985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023806464).

2374985680 is an abundant number, since it is smaller than the sum of its proper divisors (3672627248).

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

2374985680 is a wasteful number, since it uses less digits than its factorization.

2374985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The square root of 2374985680 is about 48733.8248037233. The cubic root of 2374985680 is about 1334.1981428460.

The spelling of 2374985680 in words is "two billion, three hundred seventy-four million, nine hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 191 205 223 272 328 340 382 410 446 656 680 697 764 820 892 955 1115 1360 1394 1528 1640 1784 1910 2230 2788 3056 3247 3280 3485 3568 3791 3820 4460 5576 6494 6970 7582 7640 7831 8920 9143 11152 12988 13940 15164 15280 15662 16235 17840 18286 18955 25976 27880 30328 31324 32470 36572 37910 39155 42593 45715 51952 55760 60656 62648 64940 73144 75820 78310 85186 91430 125296 129880 133127 146288 151640 155431 156620 170372 182860 212965 259760 266254 303280 310862 313240 340744 365720 425930 532508 621724 626480 665635 681488 724081 731440 777155 851860 1065016 1243448 1331270 1448162 1554310 1703720 1746313 2130032 2486896 2662540 2896324 3108620 3407440 3492626 3620405 5325080 5792648 6217240 6985252 7240810 8731565 10650160 11585296 12434480 13970504 14481620 17463130 27941008 28963240 29687321 34926260 57926480 59374642 69852520 118749284 139705040 148436605 237498568 296873210 474997136 593746420 1187492840 2374985680