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2721632496 = 243117696703
BaseRepresentation
bin1010001000111000…
…1101000011110000
321000200020020220120
42202032031003300
521033214214441
61130022010240
7124305331422
oct24216150360
97020206816
102721632496
111177321860
1263b576980
13344b1bc3b
141bb664812
1510de09966
hexa238d0f0

2721632496 has 80 divisors (see below), whose sum is σ = 7681175040. Its totient is φ = 823541760.

The previous prime is 2721632453. The next prime is 2721632531. The reversal of 2721632496 is 6942361272.

It is a congruent number.

It is an unprimeable number.

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, 402681 + ... + 409383.

It is an arithmetic number, because the mean of its divisors is an integer number (96014688).

Almost surely, 22721632496 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 2721632496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840587520).

2721632496 is an abundant number, since it is smaller than the sum of its proper divisors (4959542544).

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

2721632496 is a wasteful number, since it uses less digits than its factorization.

2721632496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7488 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 2721632496 is about 52169.2677349414. The cubic root of 2721632496 is about 1396.1856196613.

The spelling of 2721632496 in words is "two billion, seven hundred twenty-one million, six hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 769 1538 2307 3076 4614 6152 6703 8459 9228 12304 13406 16918 18456 20109 25377 26812 33836 36912 40218 50754 53624 67672 73733 80436 101508 107248 135344 147466 160872 203016 221199 294932 321744 406032 442398 589864 884796 1179728 1769592 3539184 5154607 10309214 15463821 20618428 30927642 41236856 56700677 61855284 82473712 113401354 123710568 170102031 226802708 247421136 340204062 453605416 680408124 907210832 1360816248 2721632496