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2137694920 = 23517109151191
BaseRepresentation
bin111111101101010…
…1010001011001000
312111222110011010221
41333122222023020
513334222214140
6552042115424
7103655051464
oct17732521310
95458404127
102137694920
119a7744919
124b7aabb74
13280b5844a
14163c9d4a4
15c7a1114a
hex7f6aa2c8

2137694920 has 128 divisors (see below), whose sum is σ = 5200588800. Its totient is φ = 787968000.

The previous prime is 2137694917. The next prime is 2137694953. The reversal of 2137694920 is 294967312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11192025 + ... + 11192215.

It is an arithmetic number, because the mean of its divisors is an integer number (40629600).

Almost surely, 22137694920 is an apocalyptic number.

2137694920 is a gapful number since it is divisible by the number (20) 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 2137694920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600294400).

2137694920 is an abundant number, since it is smaller than the sum of its proper divisors (3062893880).

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

2137694920 is a wasteful number, since it uses less digits than its factorization.

2137694920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 2137694920 is about 46235.2129875055. The cubic root of 2137694920 is about 1288.1958876095.

The spelling of 2137694920 in words is "two billion, one hundred thirty-seven million, six hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 151 170 191 218 302 340 382 436 545 604 680 755 764 872 955 1090 1208 1510 1528 1853 1910 2180 2567 3020 3247 3706 3820 4360 5134 6040 6494 7412 7640 9265 10268 12835 12988 14824 16235 16459 18530 20536 20819 25670 25976 28841 32470 32918 37060 41638 51340 57682 64940 65836 74120 82295 83276 102680 104095 115364 129880 131672 144205 164590 166552 208190 230728 279803 288410 329180 353923 416380 490297 559606 576820 658360 707846 832760 980594 1119212 1153640 1399015 1415692 1769615 1961188 2238424 2451485 2798030 2831384 3143669 3539230 3922376 4902970 5596060 6287338 7078460 9805940 11192120 12574676 14156920 15718345 19611880 25149352 31436690 53442373 62873380 106884746 125746760 213769492 267211865 427538984 534423730 1068847460 2137694920