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2067375104 = 21019591801
BaseRepresentation
bin111101100111001…
…1010010000000000
312100002010112111022
41323032122100000
513213222000404
6541051005012
7102142253444
oct17316322000
95302115438
102067375104
11970a85573
12498439768
1326c4071a2
141587d6824
15c17708be
hex7b39a400

2067375104 has 88 divisors (see below), whose sum is σ = 4426432800. Its totient is φ = 962150400.

The previous prime is 2067375091. The next prime is 2067375137. The reversal of 2067375104 is 4015737602.

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, 1147004 + ... + 1148804.

Almost surely, 22067375104 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 2067375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213216400).

2067375104 is an abundant number, since it is smaller than the sum of its proper divisors (2359057696).

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

2067375104 is a wasteful number, since it uses less digits than its factorization.

2067375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 2067375104 is about 45468.3967608272. The cubic root of 2067375104 is about 1273.9129741008.

The spelling of 2067375104 in words is "two billion, sixty-seven million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 512 608 944 1024 1121 1216 1801 1888 2242 2432 3602 3776 4484 4864 7204 7552 8968 9728 14408 15104 17936 19456 28816 30208 34219 35872 57632 60416 68438 71744 106259 115264 136876 143488 212518 230528 273752 286976 425036 461056 547504 573952 850072 922112 1095008 1147904 1700144 1844224 2018921 2190016 3400288 4037842 4380032 6800576 8075684 8760064 13601152 16151368 17520128 27202304 32302736 35040256 54404608 64605472 108809216 129210944 258421888 516843776 1033687552 2067375104