Search a number
-
+
12709145760 = 253526477387
BaseRepresentation
bin10111101011000011…
…00010110010100000
31012210201111111110020
423311201202302200
5202012020131020
65501041033440
7626641646043
oct136541426240
935721444406
1012709145760
115431a88353
122568325880
1312770569bc
14887c96c5a
154e5b4cc40
hex2f5862ca0

12709145760 has 48 divisors (see below), whose sum is σ = 40033810656. Its totient is φ = 3389105408.

The previous prime is 12709145731. The next prime is 12709145789. The reversal of 12709145760 is 6754190721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12709145731) and next prime (12709145789).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13238214 + ... + 13239173.

It is an arithmetic number, because the mean of its divisors is an integer number (834037722).

Almost surely, 212709145760 is an apocalyptic number.

12709145760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12709145760 is an abundant number, since it is smaller than the sum of its proper divisors (27324664896).

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

12709145760 is a wasteful number, since it uses less digits than its factorization.

12709145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26477405 (or 26477397 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 12709145760 in words is "twelve billion, seven hundred nine million, one hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26477387 52954774 79432161 105909548 132386935 158864322 211819096 264773870 317728644 397160805 423638192 529547740 635457288 794321610 847276384 1059095480 1270914576 1588643220 2118190960 2541829152 3177286440 4236381920 6354572880 12709145760