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2644350813316 = 22234292532
BaseRepresentation
bin100110011110101111100…
…101110100010010000100
3100100210112100120122210201
4212132233211310102010
5321311112302011231
65342444211100244
7362022323022562
oct46365745642204
910323470518721
102644350813316
1192a510106903
123685ab8a1684
13162490774c84
1491db7094a32
1548bbb7a2161
hex267af974484

2644350813316 has 135 divisors (see below), whose sum is σ = 5106860265871. Its totient is φ = 1198040299456.

The previous prime is 2644350813281. The next prime is 2644350813317. The reversal of 2644350813316 is 6133180534462.

It is a happy number.

The square root of 2644350813316 is 1626146.

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

2644350813316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165917728900 + 2478433084416 = 407330^2 + 1574304^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2644350813317) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49893411546 + ... + 49893411598.

Almost surely, 22644350813316 is an apocalyptic number.

2644350813316 is the 1626146-th square number.

It is an amenable number.

2644350813316 is a deficient number, since it is larger than the sum of its proper divisors (2462509452555).

2644350813316 is an frugal number, since it uses more digits than its factorization.

2644350813316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 2644350813316 in words is "two trillion, six hundred forty-four billion, three hundred fifty million, eight hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 4 23 29 46 53 58 92 106 116 212 529 667 841 1058 1219 1334 1537 1682 2116 2438 2668 2809 3074 3364 4876 5618 6148 11236 12167 15341 19343 24334 28037 30682 35351 38686 44573 48668 56074 61364 64607 70702 77372 81461 89146 112148 129214 141404 162922 178292 258428 279841 325844 352843 444889 559682 644851 705686 813073 889778 1025179 1119364 1289702 1411372 1485961 1626146 1779556 1873603 2050358 2362369 2579404 2971922 3252292 3747206 4100716 4724738 5943844 7494412 8115389 9449476 10232447 14831573 16230778 18700679 20464894 23579117 29663146 32461556 34177103 37401358 40929788 43092869 47158234 54334487 59326292 68354206 74802716 86185738 94316468 108668974 136708412 172371476 217337948 235346281 430115617 470692562 542319691 786073369 860231234 941385124 991135987 1084639382 1249693201 1572146738 1720462468 1982271974 2169278764 2499386402 3144293476 3964543948 4998772804 12473352893 22796127701 24946705786 28742943623 45592255402 49893411572 57485887246 91184510804 114971774492 661087703329 1322175406658 2644350813316