Search a number
-
+
10672500336 = 2431935333151
BaseRepresentation
bin10011111000010000…
…10110111001110000
31000112210012012011020
421330020112321300
5133324130002321
64523004415440
7525321520221
oct117410267160
930483165136
1010672500336
114587391513
12209a247580
13101111b974
147335bd248
15426e4c4c6
hex27c216e70

10672500336 has 80 divisors (see below), whose sum is σ = 29104803840. Its totient is φ = 3360614400.

The previous prime is 10672500301. The next prime is 10672500341. The reversal of 10672500336 is 63300527601.

It is a super-2 number, since 2×106725003362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10672500297 and 10672500306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305361 + ... + 338511.

It is an arithmetic number, because the mean of its divisors is an integer number (363810048).

Almost surely, 210672500336 is an apocalyptic number.

10672500336 is a gapful number since it is divisible by the number (16) 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 10672500336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552401920).

10672500336 is an abundant number, since it is smaller than the sum of its proper divisors (18432303504).

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

10672500336 is a wasteful number, since it uses less digits than its factorization.

10672500336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33534 (or 33528 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 10672500336 in words is "ten billion, six hundred seventy-two million, five hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 353 456 706 912 1059 1412 2118 2824 4236 5648 6707 8472 13414 16944 20121 26828 33151 40242 53656 66302 80484 99453 107312 132604 160968 198906 265208 321936 397812 530416 629869 795624 1259738 1591248 1889607 2519476 3779214 5038952 7558428 10077904 11702303 15116856 23404606 30233712 35106909 46809212 70213818 93618424 140427636 187236848 222343757 280855272 444687514 561710544 667031271 889375028 1334062542 1778750056 2668125084 3557500112 5336250168 10672500336