Search a number
-
+
1693696483840 = 2952412745229
BaseRepresentation
bin11000101001011000001…
…011010110001000000000
312222220201121202000122111
4120221120023112020000
5210222142244440330
63334023505345104
7233236243401304
oct30513013261000
95886647660574
101693696483840
115a33245685a9
122342bb638194
13c393a80a65a
145bd924d1d04
152e0cc23032a
hex18a582d6200

1693696483840 has 80 divisors (see below), whose sum is σ = 4077753661080. Its totient is φ = 674667233280.

The previous prime is 1693696483823. The next prime is 1693696483859. The reversal of 1693696483840 is 483846963961.

It can be written as a sum of positive squares in 4 ways, for example, as 1687879065856 + 5817417984 = 1299184^2 + 76272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×16936964838402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755655 + ... + 1989574.

Almost surely, 21693696483840 is an apocalyptic number.

1693696483840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1693696483840 is an abundant number, since it is smaller than the sum of its proper divisors (2384057177240).

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

1693696483840 is an equidigital number, since it uses as much as digits as its factorization.

1693696483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745493 (or 2745477 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 67.

The spelling of 1693696483840 in words is "one trillion, six hundred ninety-three billion, six hundred ninety-six million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 512 640 964 1205 1280 1928 2410 2560 3856 4820 7712 9640 15424 19280 30848 38560 61696 77120 123392 154240 308480 616960 2745229 5490458 10980916 13726145 21961832 27452290 43923664 54904580 87847328 109809160 175694656 219618320 351389312 439236640 661600189 702778624 878473280 1323200378 1405557248 1756946560 2646400756 3308000945 3513893120 5292801512 6616001890 7027786240 10585603024 13232003780 21171206048 26464007560 42342412096 52928015120 84684824192 105856030240 169369648384 211712060480 338739296768 423424120960 846848241920 1693696483840