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10778013344 = 257223329501
BaseRepresentation
bin10100000100110101…
…10110111010100000
31000211010201210210102
422002122312322200
5134033132411334
64541254121532
7531042413300
oct120232667240
930733653712
1010778013344
1146309a8a4a
1221096502a8
131029c428b7
14743607600
1543134067e
hex2826b6ea0

10778013344 has 72 divisors (see below), whose sum is σ = 24790353588. Its totient is φ = 4599168000.

The previous prime is 10778013343. The next prime is 10778013347. The reversal of 10778013344 is 44331087701.

It can be written as a sum of positive squares in 2 ways, for example, as 10302250000 + 475763344 = 101500^2 + 21812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10778013298 and 10778013307.

It is not an unprimeable number, because it can be changed into a prime (10778013343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350594 + ... + 380094.

Almost surely, 210778013344 is an apocalyptic number.

10778013344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10778013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395176794).

10778013344 is an abundant number, since it is smaller than the sum of its proper divisors (14012340244).

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

10778013344 is a wasteful number, since it uses less digits than its factorization.

10778013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29758 (or 29743 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 10778013344 in words is "ten billion, seven hundred seventy-eight million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 233 392 466 784 932 1568 1631 1864 3262 3728 6524 7456 11417 13048 22834 26096 29501 45668 52192 59002 91336 118004 182672 206507 236008 365344 413014 472016 826028 944032 1445549 1652056 2891098 3304112 5782196 6608224 6873733 11564392 13747466 23128784 27494932 46257568 48116131 54989864 96232262 109979728 192464524 219959456 336812917 384929048 673625834 769858096 1347251668 1539716192 2694503336 5389006672 10778013344