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161620471848 = 233113141481667
BaseRepresentation
bin1001011010000101010…
…1001011000000101000
3120110011121102122110210
42112201111023000220
510121444320044343
6202125235341120
714451051225633
oct2264125130050
9513147378423
10161620471848
11625a75a76a0
12273a64517a0
1312318bbc7c4
147b72c16c1a
15430dd82333
hex25a154b028

161620471848 has 128 divisors (see below), whose sum is σ = 466100490240. Its totient is φ = 46239936000.

The previous prime is 161620471847. The next prime is 161620471853. The reversal of 161620471848 is 848174026161.

It is a super-2 number, since 2×1616204718482 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 161620471797 and 161620471806.

It is not an unprimeable number, because it can be changed into a prime (161620471841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94711 + ... + 576377.

It is an arithmetic number, because the mean of its divisors is an integer number (3641410080).

Almost surely, 2161620471848 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 161620471848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233050245120).

161620471848 is an abundant number, since it is smaller than the sum of its proper divisors (304480018392).

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

161620471848 is a wasteful number, since it uses less digits than its factorization.

161620471848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481759 (or 481755 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 161620471848 in words is "one hundred sixty-one billion, six hundred twenty million, four hundred seventy-one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 41 44 62 66 82 88 93 123 124 132 164 186 246 248 264 328 341 372 451 492 682 744 902 984 1023 1271 1353 1364 1804 2046 2542 2706 2728 3608 3813 4092 5084 5412 7626 8184 10168 10824 13981 15252 27962 30504 41943 55924 83886 111848 167772 335544 481667 963334 1445001 1926668 2890002 3853336 5298337 5780004 10596674 11560008 14931677 15895011 19748347 21193348 29863354 31790022 39496694 42386696 44795031 59245041 59726708 63580044 78993388 89590062 118490082 119453416 127160088 157986776 164248447 179180124 217231817 236980164 328496894 358360248 434463634 473960328 492745341 612198757 651695451 656993788 868927268 985490682 1224397514 1303390902 1313987576 1737854536 1836596271 1970981364 2448795028 2606781804 3673192542 3941962728 4897590056 5213563608 6734186327 7346385084 13468372654 14692770168 20202558981 26936745308 40405117962 53873490616 80810235924 161620471848