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6495148032 = 21134792207
BaseRepresentation
bin1100000110010010…
…00001100000000000
3121202122202201002020
412003021001200000
5101300224214112
62552301321440
7316645563432
oct60311014000
917678681066
106495148032
11283338393a
121313266280
137c6842579
144588a0652
1528034348c
hex183241800

6495148032 has 96 divisors (see below), whose sum is σ = 17360179200. Its totient is φ = 2159550464.

The previous prime is 6495148031. The next prime is 6495148111. The reversal of 6495148032 is 2308415946.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6495148031) 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, 2941873 + ... + 2944079.

It is an arithmetic number, because the mean of its divisors is an integer number (180835200).

Almost surely, 26495148032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6495148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680089600).

6495148032 is an abundant number, since it is smaller than the sum of its proper divisors (10865031168).

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

6495148032 is a wasteful number, since it uses less digits than its factorization.

6495148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6495148032 is about 80592.4812373958. The cubic root of 6495148032 is about 1865.7911032118.

The spelling of 6495148032 in words is "six billion, four hundred ninety-five million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 479 512 768 958 1024 1437 1536 1916 2048 2207 2874 3072 3832 4414 5748 6144 6621 7664 8828 11496 13242 15328 17656 22992 26484 30656 35312 45984 52968 61312 70624 91968 105936 122624 141248 183936 211872 245248 282496 367872 423744 490496 564992 735744 847488 980992 1057153 1129984 1471488 1694976 2114306 2259968 2942976 3171459 3389952 4228612 4519936 6342918 6779904 8457224 12685836 13559808 16914448 25371672 33828896 50743344 67657792 101486688 135315584 202973376 270631168 405946752 541262336 811893504 1082524672 1623787008 2165049344 3247574016 6495148032