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2070056472 = 2331161191673
BaseRepresentation
bin111101101100010…
…1000111000011000
312100021011202122020
41323120220320120
513214413301342
6541224254440
7102204122031
oct17330507030
95307152566
102070056472
11972547080
12499311420
1326cb357b3
14158cd3a88
15c1b000ec
hex7b628e18

2070056472 has 128 divisors (see below), whose sum is σ = 5776773120. Its totient is φ = 612864000.

The previous prime is 2070056467. The next prime is 2070056531. The reversal of 2070056472 is 2746500702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075528 + ... + 3076200.

It is an arithmetic number, because the mean of its divisors is an integer number (45131040).

Almost surely, 22070056472 is an apocalyptic number.

2070056472 is a gapful number since it is divisible by the number (22) 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 2070056472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888386560).

2070056472 is an abundant number, since it is smaller than the sum of its proper divisors (3706716648).

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

2070056472 is a wasteful number, since it uses less digits than its factorization.

2070056472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 2070056472 is about 45497.8732689782. The cubic root of 2070056472 is about 1274.4634876115.

The spelling of 2070056472 in words is "two billion, seventy million, fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 191 244 264 366 382 488 573 671 673 732 764 1146 1342 1346 1464 1528 2013 2019 2101 2292 2684 2692 4026 4038 4202 4584 5368 5384 6303 7403 8052 8076 8404 11651 12606 14806 16104 16152 16808 22209 23302 25212 29612 34953 41053 44418 46604 50424 59224 69906 82106 88836 93208 123159 128161 128543 139812 164212 177672 246318 256322 257086 279624 328424 384483 385629 451583 492636 512644 514172 768966 771258 903166 985272 1025288 1028344 1354749 1413973 1537932 1542516 1806332 2709498 2827946 3075864 3085032 3612664 4241919 5418996 5655892 7841123 8483838 10837992 11311784 15682246 16967676 23523369 31364492 33935352 47046738 62728984 86252353 94093476 172504706 188186952 258757059 345009412 517514118 690018824 1035028236 2070056472