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2161056465040 = 245118329587301
BaseRepresentation
bin11111011100101001000…
…000001100000010010000
321122121001201222222112211
4133130221000030002100
5240401320423340130
64332435312001504
7312062664604204
oct37345100140220
97577051888484
102161056465040
11763554043850
122aa9b1530294
13128a2c64b125
147684a80cb04
153b3325a1a2a
hex1f72900c090

2161056465040 has 80 divisors (see below), whose sum is σ = 5547264077376. Its totient is φ = 776370752000.

The previous prime is 2161056465037. The next prime is 2161056465097. The reversal of 2161056465040 is 405646501612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2161056464984 and 2161056465002.

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, 14720611 + ... + 14866690.

Almost surely, 22161056465040 is an apocalyptic number.

2161056465040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2161056465040 is an abundant number, since it is smaller than the sum of its proper divisors (3386207612336).

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

2161056465040 is a wasteful number, since it uses less digits than its factorization.

2161056465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29587408 (or 29587402 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 2161056465040 in words is "two trillion, one hundred sixty-one billion, fifty-six million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 29587301 59174602 118349204 147936505 236698408 295873010 325460311 473396816 591746020 650920622 1183492040 1301841244 1627301555 2366984080 2455745983 2603682488 3254603110 4911491966 5207364976 6509206220 9822983932 12278729915 13018412440 19645967864 24557459830 26036824880 27013205813 39291935728 49114919660 54026411626 98229839320 108052823252 135066029065 196459678640 216105646504 270132058130 432211293008 540264116260 1080528232520 2161056465040