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2061584302080 = 23735
BaseRepresentation
bin11110000000000000000…
…000000000000000000000
321022002022100120112121010
4132000000000000000000
5232234111040131310
64215025002200520
7301641660302202
oct36000000000000
97262270515533
102061584302080
11725349658506
122936704b3140
1311c5392bc0c4
1471ad190c772
153895e87d320
hex1e000000000

2061584302080 has 152 divisors (see below), whose sum is σ = 6597069766632. Its totient is φ = 549755813888.

The previous prime is 2061584302067. The next prime is 2061584302081. The reversal of 2061584302080 is 802034851602.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)34.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061584302081) by changing a digit.

In principle, a polygon with 2061584302080 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412316860414 + ... + 412316860418.

Almost surely, 22061584302080 is an apocalyptic number.

2061584302080 is a gapful number since it is divisible by the number (20) 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 2061584302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298534883316).

2061584302080 is an abundant number, since it is smaller than the sum of its proper divisors (4535485464552).

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

2061584302080 is an frugal number, since it uses more digits than its factorization.

2061584302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 2061584302080 in words is "two trillion, sixty-one billion, five hundred eighty-four million, three hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 536870912 671088640 805306368 1006632960 1073741824 1342177280 1610612736 2013265920 2147483648 2684354560 3221225472 4026531840 4294967296 5368709120 6442450944 8053063680 8589934592 10737418240 12884901888 16106127360 17179869184 21474836480 25769803776 32212254720 34359738368 42949672960 51539607552 64424509440 68719476736 85899345920 103079215104 128849018880 137438953472 171798691840 206158430208 257698037760 343597383680 412316860416 515396075520 687194767360 1030792151040 2061584302080