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2052350664 = 2337131949459
BaseRepresentation
bin111101001010100…
…0110001011001000
312022000212012211120
41322111012023020
513200400210124
6535352555240
7101600456430
oct17225061310
95260765746
102052350664
11963553481
124933b2b20
132692766a0
141568052c0
15c02a3d79
hex7a5462c8

2052350664 has 128 divisors (see below), whose sum is σ = 6647424000. Its totient is φ = 512780544.

The previous prime is 2052350639. The next prime is 2052350681. The reversal of 2052350664 is 4660532502.

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, 16767 + ... + 66225.

It is an arithmetic number, because the mean of its divisors is an integer number (51933000).

Almost surely, 22052350664 is an apocalyptic number.

2052350664 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 2052350664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323712000).

2052350664 is an abundant number, since it is smaller than the sum of its proper divisors (4595073336).

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

2052350664 is a wasteful number, since it uses less digits than its factorization.

2052350664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49507 (or 49503 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2052350664 is about 45302.8769947340. The cubic root of 2052350664 is about 1270.8194566722.

The spelling of 2052350664 in words is "two billion, fifty-two million, three hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 49459 98918 148377 197836 296754 346213 395672 593508 642967 692426 939721 1038639 1187016 1285934 1384852 1879442 1928901 2077278 2571868 2769704 2819163 3758884 3857802 4154556 4500769 5143736 5638326 6578047 7517768 7715604 8309112 9001538 11276652 12216373 13156094 13502307 15431208 18003076 19734141 22553304 24432746 26312188 27004614 36006152 36649119 39468282 48865492 52624376 54009228 73298238 78936564 85514611 97730984 108018456 146596476 157873128 171029222 256543833 293192952 342058444 513087666 684116888 1026175332 2052350664