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2038643516 = 2271353105673
BaseRepresentation
bin111100110000011…
…0011101100111100
312021002001211011102
41321200303230330
513133343043031
6534143112232
7101343120050
oct17140635474
95232054142
102038643516
11956841058
1248a8a2678
13266487650
14154a77c60
15bde977cb
hex79833b3c

2038643516 has 48 divisors (see below), whose sum is σ = 4473814464. Its totient is φ = 791271936.

The previous prime is 2038643491. The next prime is 2038643521. The reversal of 2038643516 is 6153468302.

It is a self number, because there is not a number n which added to its sum of digits gives 2038643516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33545 + ... + 72128.

It is an arithmetic number, because the mean of its divisors is an integer number (93204468).

Almost surely, 22038643516 is an apocalyptic number.

2038643516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2038643516 is an abundant number, since it is smaller than the sum of its proper divisors (2435170948).

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

2038643516 is a wasteful number, since it uses less digits than its factorization.

2038643516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105750 (or 105748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 2038643516 is about 45151.3401351499. The cubic root of 2038643516 is about 1267.9839706798.

The spelling of 2038643516 in words is "two billion, thirty-eight million, six hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 4823 9646 19292 105673 211346 422692 739711 1373749 1479422 2747498 2958844 5494996 5600669 9616243 11201338 19232486 22402676 38464972 39204683 72808697 78409366 145617394 156818732 291234788 509660879 1019321758 2038643516