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100226207780416 = 26389232172
BaseRepresentation
bin10110110010011110111011…
…100000110000111001000000
3111010212112100202011101212001
4112302132323200300321000
5101114101233142433131
6553055141220313344
730053050601432314
oct2662367340607100
9433775322141761
10100226207780416
1129a31772444733
12b2a8616242854
1343c03a1c882a3
141aa6d8d833b44
15b8c1a898c261
hex5b27bb830e40

100226207780416 has 63 divisors (see below), whose sum is σ = 199460973604179. Its totient is φ = 49968740886528.

The previous prime is 100226207780381. The next prime is 100226207780431. The reversal of 100226207780416 is 614087702622001.

The square root of 100226207780416 is 10011304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3524630760000 + 96701577020416 = 1877400^2 + 9833696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31155176440 + ... + 31155179656.

Almost surely, 2100226207780416 is an apocalyptic number.

100226207780416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100226207780416 is the 10011304-th square number.

It is an amenable number.

100226207780416 is a deficient number, since it is larger than the sum of its proper divisors (99234765823763).

100226207780416 is an frugal number, since it uses more digits than its factorization.

100226207780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 100226207780416 in words is "one hundred trillion, two hundred twenty-six billion, two hundred seven million, seven hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 389 778 1556 3112 3217 6224 6434 12448 12868 24896 25736 51472 102944 151321 205888 302642 605284 1210568 1251413 2421136 2502826 4842272 5005652 9684544 10011304 10349089 20022608 20698178 40045216 41396356 80090432 82792712 165585424 331170848 486799657 662341696 973599314 1947198628 3894397256 4025795621 7788794512 8051591242 15577589024 16103182484 31155178048 32206364968 64412729936 128825459872 257650919744 1566034496569 3132068993138 6264137986276 12528275972552 25056551945104 50113103890208 100226207780416