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3489600029216 = 257611078923671
BaseRepresentation
bin110010110001111100010…
…111101100001000100000
3110100121021020002201210112
4302301330113230020200
5424133200101413331
611231033343150452
7510054353561060
oct62617427541040
913317236081715
103489600029216
111125a272741a4
12484383ba5428
131c40b615c2c2
14c0c7cbdd3a0
1560b8c30e32b
hex32c7c5ec220

3489600029216 has 96 divisors (see below), whose sum is σ = 7981391658240. Its totient is φ = 1470827289600.

The previous prime is 3489600029207. The next prime is 3489600029219. The reversal of 3489600029216 is 6129200069843.

It is not an unprimeable number, because it can be changed into a prime (3489600029219) by changing a digit.

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, 147409061 + ... + 147432731.

It is an arithmetic number, because the mean of its divisors is an integer number (83139496440).

Almost surely, 23489600029216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489600029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990695829120).

3489600029216 is an abundant number, since it is smaller than the sum of its proper divisors (4491791629024).

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

3489600029216 is a wasteful number, since it uses less digits than its factorization.

3489600029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34530 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 3489600029216 in words is "three trillion, four hundred eighty-nine billion, six hundred million, twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6832 10789 13664 21578 23671 43156 47342 75523 86312 94684 151046 165697 172624 189368 302092 331394 345248 378736 604184 658129 662788 757472 1208368 1316258 1325576 1443931 2416736 2632516 2651152 2887862 4606903 5265032 5302304 5775724 9213806 10107517 10530064 11551448 18427612 20215034 21060128 23102896 36855224 40430068 46205792 73710448 80860136 147420896 161720272 255386419 323440544 510772838 1021545676 1787704933 2043091352 3575409866 4086182704 7150819732 8172365408 14301639464 15578571559 28603278928 31157143118 57206557856 62314286236 109050000913 124628572472 218100001826 249257144944 436200003652 498514289888 872400007304 1744800014608 3489600029216