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60345116040 = 23351145715997
BaseRepresentation
bin111000001100110110…
…010110010110001000
312202202112222111221210
4320030312112112020
51442041322203130
643415553133120
74234260010626
oct701466262610
9182675874853
1060345116040
1123657276930
12b84155a1a0
1358c90c3371
142cc664c516
151882bc45b0
hexe0cd96588

60345116040 has 64 divisors (see below), whose sum is σ = 197493111360. Its totient is φ = 14629118720.

The previous prime is 60345115973. The next prime is 60345116113. The reversal of 60345116040 is 4061154306.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 60345115989 and 60345116007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22856679 + ... + 22859318.

It is an arithmetic number, because the mean of its divisors is an integer number (3085829865).

Almost surely, 260345116040 is an apocalyptic number.

60345116040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60345116040 is an abundant number, since it is smaller than the sum of its proper divisors (137147995320).

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

60345116040 is a wasteful number, since it uses less digits than its factorization.

60345116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45716022 (or 45716018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 60345116040 in words is "sixty billion, three hundred forty-five million, one hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 45715997 91431994 137147991 182863988 228579985 274295982 365727976 457159970 502875967 548591964 685739955 914319940 1005751934 1097183928 1371479910 1508627901 1828639880 2011503868 2514379835 2742959820 3017255802 4023007736 5028759670 5485919640 6034511604 7543139505 10057519340 12069023208 15086279010 20115038680 30172558020 60345116040