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1640674816 = 2911271373
BaseRepresentation
bin110000111001010…
…1011011000000000
311020100012220201221
41201302223120000
511330003043231
6430445204424
755441335334
oct14162533000
94210186657
101640674816
11772133300
12399560714
13201ba7801
14117c817c4
1599085d11
hex61cab600

1640674816 has 120 divisors (see below), whose sum is σ = 3663796752. Its totient is φ = 733286400.

The previous prime is 1640674787. The next prime is 1640674823. The reversal of 1640674816 is 6184760461.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4398406 + ... + 4398778.

Almost surely, 21640674816 is an apocalyptic number.

1640674816 is a gapful number since it is divisible by the number (16) 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 1640674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831898376).

1640674816 is an abundant number, since it is smaller than the sum of its proper divisors (2023121936).

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

1640674816 is an equidigital number, since it uses as much as digits as its factorization.

1640674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 1640674816 is about 40505.2443024357. The cubic root of 1640674816 is about 1179.4354323116.

It can be divided in two parts, 16 and 40674816, that multiplied together give a palindrome (650797056).

The spelling of 1640674816 in words is "one billion, six hundred forty million, six hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 142 176 242 256 284 352 373 484 512 568 704 746 781 968 1136 1408 1492 1562 1936 2272 2816 2984 3124 3872 4103 4544 5632 5968 6248 7744 8206 8591 9088 11936 12496 15488 16412 17182 18176 23872 24992 26483 30976 32824 34364 36352 45133 47744 49984 52966 61952 65648 68728 90266 95488 99968 105932 131296 137456 180532 190976 199936 211864 262592 274912 291313 361064 399872 423728 525184 549824 582626 722128 847456 1050368 1099648 1165252 1444256 1694912 2100736 2199296 2330504 2888512 3204443 3389824 4398592 4661008 5777024 6408886 6779648 9322016 11554048 12817772 13559296 18644032 23108096 25635544 37288064 51271088 74576128 102542176 149152256 205084352 410168704 820337408 1640674816