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2132691792 = 243711252457
BaseRepresentation
bin111111100011110…
…0100101101010000
312111122000222010220
41333013210231100
513331432114132
6551342553040
7103564403220
oct17707445520
95448028126
102132691792
119a4937a00
124b6298780
1327cac610a
1416335a080
15c7373a2c
hex7f1e4b50

2132691792 has 120 divisors (see below), whose sum is σ = 6921098688. Its totient is φ = 553935360.

The previous prime is 2132691763. The next prime is 2132691809. The reversal of 2132691792 is 2971962312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14428 + ... + 66884.

Almost surely, 22132691792 is an apocalyptic number.

2132691792 is a gapful number since it is divisible by the number (22) 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 2132691792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460549344).

2132691792 is an abundant number, since it is smaller than the sum of its proper divisors (4788406896).

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

2132691792 is a wasteful number, since it uses less digits than its factorization.

2132691792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52497 (or 52480 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 2132691792 is about 46181.0761243174. The cubic root of 2132691792 is about 1287.1901245894.

The spelling of 2132691792 in words is "two billion, one hundred thirty-two million, six hundred ninety-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 40656 52457 104914 157371 209828 314742 367199 419656 577027 629484 734398 839312 1101597 1154054 1258968 1468796 1731081 2203194 2308108 2517936 2937592 3462162 4039189 4406388 4616216 5875184 6347297 6924324 8078378 8812776 9232432 12117567 12694594 13848648 16156756 17625552 19041891 24235134 25389188 27697296 32313512 38083782 44431079 48470268 50778376 64627024 76167564 88862158 96940536 101556752 133293237 152335128 177724316 193881072 266586474 304670256 355448632 533172948 710897264 1066345896 2132691792