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2479068115840 = 27543229393373
BaseRepresentation
bin100100000100110011111…
…110010111001110000000
322202222220112000200012201
4210010303332113032000
5311104112414201330
65134511305202544
7344051422205161
oct44046376271600
98688815020181
102479068115840
1187640435a968
12340562a90454
1314ca0cc29374
1487db7b31768
154474616aeca
hex24133f97380

2479068115840 has 128 divisors (see below), whose sum is σ = 6090845666400. Its totient is φ = 964334149632.

The previous prime is 2479068115813. The next prime is 2479068115861. The reversal of 2479068115840 is 485118609742.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×24790681158402 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105394 + ... + 6498766.

Almost surely, 22479068115840 is an apocalyptic number.

2479068115840 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 2479068115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045422833200).

2479068115840 is an abundant number, since it is smaller than the sum of its proper divisors (3611777550560).

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

2479068115840 is a wasteful number, since it uses less digits than its factorization.

2479068115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393664 (or 393652 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 2479068115840 in words is "two trillion, four hundred seventy-nine billion, sixty-eight million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 229 320 344 430 458 640 688 860 916 1145 1376 1720 1832 2290 2752 3440 3664 4580 5504 6880 7328 9160 9847 13760 14656 18320 19694 27520 29312 36640 39388 49235 73280 78776 98470 146560 157552 196940 315104 393373 393880 630208 786746 787760 1260416 1573492 1575520 1966865 3146984 3151040 3933730 6293968 6302080 7867460 12587936 15734920 16915039 25175872 31469840 33830078 50351744 62939680 67660156 84575195 90082417 125879360 135320312 169150390 180164834 251758720 270640624 338300780 360329668 450412085 541281248 676601560 720659336 900824170 1082562496 1353203120 1441318672 1801648340 2165124992 2706406240 2882637344 3603296680 3873543931 5412812480 5765274688 7206593360 7747087862 10825624960 11530549376 14413186720 15494175724 19367719655 28826373440 30988351448 38735439310 57652746880 61976702896 77470878620 123953405792 154941757240 247906811584 309883514480 495813623168 619767028960 1239534057920 2479068115840