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10321376778 = 233316121657
BaseRepresentation
bin10011001110011001…
…11011011000001010
3222122022111021012000
421213030323120022
5132114233024103
64424102531430
7513526153326
oct114714733012
928568437160
1010321376778
11441716a159
122000736b76
13c8646124b
146dcadc986
154061e0aa3
hex26733b60a

10321376778 has 96 divisors (see below), whose sum is σ = 24085301760. Its totient is φ = 3272918400.

The previous prime is 10321376671. The next prime is 10321376797. The reversal of 10321376778 is 87767312301.

10321376778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103213767782 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6228126 + ... + 6229782.

It is an arithmetic number, because the mean of its divisors is an integer number (250888560).

Almost surely, 210321376778 is an apocalyptic number.

10321376778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321376778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042650880).

10321376778 is an abundant number, since it is smaller than the sum of its proper divisors (13763924982).

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

10321376778 is a wasteful number, since it uses less digits than its factorization.

10321376778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10321376778 in words is "ten billion, three hundred twenty-one million, three hundred seventy-six thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 93 122 183 186 279 366 549 558 837 1098 1647 1657 1674 1891 3294 3314 3721 3782 4971 5673 7442 9942 11163 11346 14913 17019 22326 29826 33489 34038 44739 51057 51367 66978 89478 100467 101077 102114 102734 115351 154101 200934 202154 230702 303231 308202 346053 462303 606462 692106 909693 924606 1038159 1386909 1819386 2076318 2729079 2773818 3114477 3133387 5458158 6165697 6228954 6266774 9400161 12331394 18497091 18800322 28200483 36994182 55491273 56400966 84601449 110982546 166473819 169202898 191136607 332947638 382273214 573409821 1146819642 1720229463 3440458926 5160688389 10321376778