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2066764350 = 2352711317419
BaseRepresentation
bin111101100110000…
…0101001000111110
312100000222111200210
41323030011020332
513213042424400
6541025533250
7102134131020
oct17314051076
95300874623
102066764350
119706a8712
124981a4226
1326c2521b1
141586b8010
15c169e950
hex7b30523e

2066764350 has 96 divisors (see below), whose sum is σ = 5909978880. Its totient is φ = 468195840.

The previous prime is 2066764213. The next prime is 2066764361. The reversal of 2066764350 is 534676602.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2066764299 and 2066764308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109941 + ... + 127359.

It is an arithmetic number, because the mean of its divisors is an integer number (61562280).

Almost surely, 22066764350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066764350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954989440).

2066764350 is an abundant number, since it is smaller than the sum of its proper divisors (3843214530).

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

2066764350 is a wasteful number, since it uses less digits than its factorization.

2066764350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17554 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 2066764350 is about 45461.6800173509. The cubic root of 2066764350 is about 1273.7875132247.

The spelling of 2066764350 in words is "two billion, sixty-six million, seven hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 113 150 175 210 226 339 350 525 565 678 791 1050 1130 1582 1695 2373 2825 3390 3955 4746 5650 7910 8475 11865 16950 17419 19775 23730 34838 39550 52257 59325 87095 104514 118650 121933 174190 243866 261285 365799 435475 522570 609665 731598 870950 1219330 1306425 1828995 1968347 2612850 3048325 3657990 3936694 5905041 6096650 9144975 9841735 11810082 13778429 18289950 19683470 27556858 29525205 41335287 49208675 59050410 68892145 82670574 98417350 137784290 147626025 206676435 295252050 344460725 413352870 688921450 1033382175 2066764350