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4795406496 = 253313814019
BaseRepresentation
bin1000111011101010…
…00001100010100000
3110101012101220001000
410131311001202200
534310111001441
62111502112000
7226556165646
oct43565014240
913335356030
104795406496
112040977971
12b19b7b600
135b565684a
14336c45196
151d0ee12b6
hex11dd418a0

4795406496 has 96 divisors (see below), whose sum is σ = 14000212800. Its totient is φ = 1596913920.

The previous prime is 4795406491. The next prime is 4795406501. The reversal of 4795406496 is 6946045974.

It is a happy number.

4795406496 is a `hidden beast` number, since 4 + 7 + 9 + 540 + 6 + 4 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (4795406491) and next prime (4795406501).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (4795406491) 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, 1191175 + ... + 1195193.

It is an arithmetic number, because the mean of its divisors is an integer number (145835550).

Almost surely, 24795406496 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 4795406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000106400).

4795406496 is an abundant number, since it is smaller than the sum of its proper divisors (9204806304).

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

4795406496 is a wasteful number, since it uses less digits than its factorization.

4795406496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4795406496 is about 69248.8736081678. The cubic root of 4795406496 is about 1686.3270600676.

The spelling of 4795406496 in words is "four billion, seven hundred ninety-five million, four hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1381 2762 4019 4143 5524 8038 8286 11048 12057 12429 16076 16572 22096 24114 24858 32152 33144 36171 37287 44192 48228 49716 64304 66288 72342 74574 96456 99432 108513 128608 132576 144684 149148 192912 198864 217026 289368 298296 385824 397728 434052 578736 596592 868104 1157472 1193184 1736208 3472416 5550239 11100478 16650717 22200956 33301434 44401912 49952151 66602868 88803824 99904302 133205736 149856453 177607648 199808604 266411472 299712906 399617208 532822944 599425812 799234416 1198851624 1598468832 2397703248 4795406496