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1640495616 = 2934192549
BaseRepresentation
bin110000111000111…
…1111101000000000
311020022212210220220
41201301333220000
511324431324431
6430441303040
755436661024
oct14161775000
94208783826
101640495616
11772020701
12399494a80
13201b44086
14117c36384
159904cb96
hex61c7fa00

1640495616 has 80 divisors (see below), whose sum is σ = 4382532000. Its totient is φ = 545312768.

The previous prime is 1640495611. The next prime is 1640495621. The reversal of 1640495616 is 6165940461.

It is an interprime number because it is at equal distance from previous prime (1640495611) and next prime (1640495621).

It is a super-2 number, since 2×16404956162 = 5382451732230438912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1640495611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642310 + ... + 644858.

It is an arithmetic number, because the mean of its divisors is an integer number (54781650).

Almost surely, 21640495616 is an apocalyptic number.

1640495616 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 1640495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191266000).

1640495616 is an abundant number, since it is smaller than the sum of its proper divisors (2742036384).

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

1640495616 is an equidigital number, since it uses as much as digits as its factorization.

1640495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1640495616 is about 40503.0321827885. The cubic root of 1640495616 is about 1179.3924901184.

The spelling of 1640495616 in words is "one billion, six hundred forty million, four hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 419 512 768 838 1257 1536 1676 2514 2549 3352 5028 5098 6704 7647 10056 10196 13408 15294 20112 20392 26816 30588 40224 40784 53632 61176 80448 81568 107264 122352 160896 163136 214528 244704 321792 326272 489408 643584 652544 978816 1068031 1305088 1957632 2136062 3204093 3915264 4272124 6408186 8544248 12816372 17088496 25632744 34176992 51265488 68353984 102530976 136707968 205061952 273415936 410123904 546831872 820247808 1640495616