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2954864640 = 211357213151
BaseRepresentation
bin1011000000011111…
…1010100000000000
321121221002200021010
42300013322200000
522022421132030
61205113000520
7133136635500
oct26007724000
97557080233
102954864640
111286a425a2
126a56b3140
13381240420
14200617a00
1512462a6b0
hexb01fa800

2954864640 has 576 divisors, whose sum is σ = 11920970880. Its totient is φ = 619315200.

The previous prime is 2954864621. The next prime is 2954864719. The reversal of 2954864640 is 464684592.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2954864640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19568565 + ... + 19568715.

It is an arithmetic number, because the mean of its divisors is an integer number (20696130).

Almost surely, 22954864640 is an apocalyptic number.

2954864640 is a gapful number since it is divisible by the number (20) 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 2954864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960485440).

2954864640 is an abundant number, since it is smaller than the sum of its proper divisors (8966106240).

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

2954864640 is a wasteful number, since it uses less digits than its factorization.

2954864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2954864640 is about 54358.6666503144. Note that the first 4 decimals coincide. The cubic root of 2954864640 is about 1434.9800512793.

The spelling of 2954864640 in words is "two billion, nine hundred fifty-four million, eight hundred sixty-four thousand, six hundred forty".