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2069205504 = 2936532063
BaseRepresentation
bin111101101010101…
…1001001000000000
312100012120112022220
41323111121020000
513214204034004
6541154131040
7102163646052
oct17325311000
95305515286
102069205504
119720157a3
12498b80a80
1326c8c8372
14158b518d2
15c19d2dd9
hex7b559200

2069205504 has 80 divisors (see below), whose sum is σ = 5523610752. Its totient is φ = 688345088.

The previous prime is 2069205499. The next prime is 2069205527. The reversal of 2069205504 is 4055029602.

It is a super-2 number, since 2×20692055042 = 8563222835567788032, which contains 22 as substring.

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, 1001977 + ... + 1004039.

Almost surely, 22069205504 is an apocalyptic number.

2069205504 is a gapful number since it is divisible by the number (24) 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 2069205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761805376).

2069205504 is an abundant number, since it is smaller than the sum of its proper divisors (3454405248).

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

2069205504 is an equidigital number, since it uses as much as digits as its factorization.

2069205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2069205504 is about 45488.5205738767. The cubic root of 2069205504 is about 1274.2888263072.

The spelling of 2069205504 in words is "two billion, sixty-nine million, two hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 653 768 1306 1536 1959 2063 2612 3918 4126 5224 6189 7836 8252 10448 12378 15672 16504 20896 24756 31344 33008 41792 49512 62688 66016 83584 99024 125376 132032 167168 198048 250752 264064 334336 396096 501504 528128 792192 1003008 1056256 1347139 1584384 2694278 3168768 4041417 5388556 8082834 10777112 16165668 21554224 32331336 43108448 64662672 86216896 129325344 172433792 258650688 344867584 517301376 689735168 1034602752 2069205504