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6494992032 = 2533115713901
BaseRepresentation
bin1100000110010000…
…11011011010100000
3121202122110210002110
412003020123122200
5101300204221112
62552254115320
7316644343554
oct60310333240
917678423073
106494992032
112833287711
1213131abb40
137c67b9569
1445885d864
1528031213c
hex18321b6a0

6494992032 has 96 divisors (see below), whose sum is σ = 17712705024. Its totient is φ = 2081664000.

The previous prime is 6494992013. The next prime is 6494992039. The reversal of 6494992032 is 2302994946.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6494992039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460282 + ... + 474182.

It is an arithmetic number, because the mean of its divisors is an integer number (184507344).

Almost surely, 26494992032 is an apocalyptic number.

6494992032 is a gapful number since it is divisible by the number (62) 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 6494992032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856352512).

6494992032 is an abundant number, since it is smaller than the sum of its proper divisors (11217712992).

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

6494992032 is a wasteful number, since it uses less digits than its factorization.

6494992032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 6494992032 is about 80591.5133993648. The cubic root of 6494992032 is about 1865.7761656132.

The spelling of 6494992032 in words is "six billion, four hundred ninety-four million, nine hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 157 186 248 314 372 471 496 628 744 942 992 1256 1488 1884 2512 2976 3768 4867 5024 7536 9734 13901 14601 15072 19468 27802 29202 38936 41703 55604 58404 77872 83406 111208 116808 155744 166812 222416 233616 333624 430931 444832 467232 667248 861862 1292793 1334496 1723724 2182457 2585586 3447448 4364914 5171172 6547371 6894896 8729828 10342344 13094742 13789792 17459656 20684688 26189484 34919312 41369376 52378968 67656167 69838624 104757936 135312334 202968501 209515872 270624668 405937002 541249336 811874004 1082498672 1623748008 2164997344 3247496016 6494992032