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3848722017856 = 2625129772
BaseRepresentation
bin111000000000011001101…
…101010110111001000000
3111121221020001110222010121
4320000121231112321000
51001024140314032411
612104024541510024
7545026630243312
oct70003155267100
914557201428117
103848722017856
111254263274631
12521aa9272314
1321bc18850031
14d43c9d5d7b2
156a1aa0d9571
hex38019b56e40

3848722017856 has 63 divisors (see below), whose sum is σ = 7675712902417. Its totient is φ = 1914732416000.

The previous prime is 3848722017841. The next prime is 3848722017857. The reversal of 3848722017856 is 6587102278483.

The square root of 3848722017856 is 1961816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3600733953600 + 247988064256 = 1897560^2 + 497984^2 .

It is a super-2 number, since 2×38487220178562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3848722017794 and 3848722017803.

It is not an unprimeable number, because it can be changed into a prime (3848722017857) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3939326040 + ... + 3939327016.

Almost surely, 23848722017856 is an apocalyptic number.

3848722017856 is the 1961816-th square number.

It is an amenable number.

3848722017856 is a deficient number, since it is larger than the sum of its proper divisors (3826990884561).

3848722017856 is an frugal number, since it uses more digits than its factorization.

3848722017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 3848722017856 in words is "three trillion, eight hundred forty-eight billion, seven hundred twenty-two million, seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 251 502 977 1004 1954 2008 3908 4016 7816 8032 15632 16064 31264 62528 63001 126002 245227 252004 490454 504008 954529 980908 1008016 1909058 1961816 2016032 3818116 3923632 4032064 7636232 7847264 15272464 15694528 30544928 61089856 61551977 123103954 239586779 246207908 479173558 492415816 958347116 984831632 1916694232 1969663264 3833388464 3939326528 7666776928 15333553856 60136281529 120272563058 240545126116 481090252232 962180504464 1924361008928 3848722017856