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2113078272 = 21032923719
BaseRepresentation
bin111110111110011…
…0000010000000000
312110021010111110020
41331330300100000
513311422001042
6545402333440
7103235604024
oct17574602000
95407114406
102113078272
11994860a88
124ab7ba280
13278a19896
141608d2384
15c579c3ec
hex7df30400

2113078272 has 88 divisors (see below), whose sum is σ = 5826580800. Its totient is φ = 680042496.

The previous prime is 2113078259. The next prime is 2113078309. The reversal of 2113078272 is 2728703112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77229 + ... + 100947.

Almost surely, 22113078272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913290400).

2113078272 is an abundant number, since it is smaller than the sum of its proper divisors (3713502528).

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

2113078272 is a wasteful number, since it uses less digits than its factorization.

2113078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23771 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2113078272 is about 45968.2311167180. The cubic root of 2113078272 is about 1283.2320404601.

The spelling of 2113078272 in words is "two billion, one hundred thirteen million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 14848 22272 23719 29696 44544 47438 71157 89088 94876 142314 189752 284628 379504 569256 687851 759008 1138512 1375702 1518016 2063553 2277024 2751404 3036032 4127106 4554048 5502808 6072064 8254212 9108096 11005616 12144128 16508424 18216192 22011232 24288256 33016848 36432384 44022464 66033696 72864768 88044928 132067392 176089856 264134784 352179712 528269568 704359424 1056539136 2113078272