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10720076172 = 223131727714593
BaseRepresentation
bin10011111101111011…
…10110000110001100
31000200002201021221020
421332331312012030
5133423314414142
64531424234140
7526440100251
oct117675660614
930602637836
1010720076172
114601226993
1220b216b950
13101ac38850
14739a45428
1542b1e8cec
hex27ef7618c

10720076172 has 96 divisors (see below), whose sum is σ = 28627123392. Its totient is φ = 3093037056.

The previous prime is 10720076149. The next prime is 10720076183. The reversal of 10720076172 is 27167002701.

It is a happy number.

It is a super-2 number, since 2×107200761722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727308 + ... + 741900.

It is an arithmetic number, because the mean of its divisors is an integer number (298199202).

Almost surely, 210720076172 is an apocalyptic number.

10720076172 is a gapful number since it is divisible by the number (12) 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 10720076172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313561696).

10720076172 is an abundant number, since it is smaller than the sum of its proper divisors (17907047220).

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

10720076172 is a wasteful number, since it uses less digits than its factorization.

10720076172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

Adding to 10720076172 its reverse (27167002701), we get a palindrome (37887078873).

The spelling of 10720076172 in words is "ten billion, seven hundred twenty million, seventy-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 277 442 554 663 831 884 1108 1326 1662 2652 3324 3601 4709 7202 9418 10803 14127 14404 14593 18836 21606 28254 29186 43212 43779 56508 58372 61217 87558 122434 175116 183651 189709 244868 248081 367302 379418 496162 569127 734604 744243 758836 992324 1138254 1488486 2276508 2976972 3225053 4042261 6450106 8084522 9675159 12126783 12900212 16169044 19350318 24253566 38700636 48507132 52549393 68718437 105098786 137436874 157648179 206155311 210197572 274873748 315296358 412310622 630592716 824621244 893339681 1786679362 2680019043 3573358724 5360038086 10720076172