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1468080924012 = 22361847272581
BaseRepresentation
bin10101010111010000011…
…100010010010101101100
312012100101002021002000000
4111113100130102111230
5143023112204032022
63042232125104300
7211031261646663
oct25272034222554
95170332232000
101468080924012
1151667845514a
121b86353b8090
13a859359bcb1
14510ac3cddda
15282c50456ac
hex155d071256c

1468080924012 has 84 divisors (see below), whose sum is σ = 3854049981936. Its totient is φ = 489093564960.

The previous prime is 1468080924001. The next prime is 1468080924017. The reversal of 1468080924012 is 2104290808641.

1468080924012 is a `hidden beast` number, since 1 + 4 + 6 + 80 + 80 + 92 + 401 + 2 = 666.

It is a super-2 number, since 2×14680809240122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1468080924017) 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 27 ways as a sum of consecutive naturals, for example, 5249562 + ... + 5522142.

It is an arithmetic number, because the mean of its divisors is an integer number (45881547404).

Almost surely, 21468080924012 is an apocalyptic number.

1468080924012 is a gapful number since it is divisible by the number (12) 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 1468080924012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927024990968).

1468080924012 is an abundant number, since it is smaller than the sum of its proper divisors (2385969057924).

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

1468080924012 is a wasteful number, since it uses less digits than its factorization.

1468080924012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274450 (or 274433 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1468080924012 in words is "one trillion, four hundred sixty-eight billion, eighty million, nine hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1847 2916 3694 5541 7388 11082 16623 22164 33246 49869 66492 99738 149607 199476 272581 299214 448821 545162 598428 817743 897642 1090324 1346463 1635486 1795284 2453229 2692926 3270972 4906458 5385852 7359687 9812916 14719374 22079061 29438748 44158122 66237183 88316244 132474366 198711549 264948732 397423098 503457107 794846196 1006914214 1510371321 2013828428 3020742642 4531113963 6041485284 9062227926 13593341889 18124455852 27186683778 40780025667 54373367556 81560051334 122340077001 163120102668 244680154002 367020231003 489360308004 734040462006 1468080924012