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7080661872 = 2433237110037
BaseRepresentation
bin1101001100000101…
…00101001101110000
3200021110111220002000
412212002211031300
5104000122134442
63130335054000
7340315430034
oct64602451560
920243456060
107080661872
113003938079
121457371300
1388ac3866b
144b25561c4
152b694dd4c
hex1a60a5370

7080661872 has 160 divisors (see below), whose sum is σ = 21508623360. Its totient is φ = 2225583360.

The previous prime is 7080661871. The next prime is 7080661873. The reversal of 7080661872 is 2781660807.

It is an interprime number because it is at equal distance from previous prime (7080661871) and next prime (7080661873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7080661871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700438 + ... + 710474.

It is an arithmetic number, because the mean of its divisors is an integer number (134428896).

Almost surely, 27080661872 is an apocalyptic number.

7080661872 is a gapful number since it is divisible by the number (72) 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 7080661872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754311680).

7080661872 is an abundant number, since it is smaller than the sum of its proper divisors (14427961488).

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

7080661872 is a wasteful number, since it uses less digits than its factorization.

7080661872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7080661872 is about 84146.6688110706. The cubic root of 7080661872 is about 1920.2507875536.

The spelling of 7080661872 in words is "seven billion, eighty million, six hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 71 72 92 108 138 142 144 184 207 213 216 276 284 368 414 426 432 552 568 621 639 828 852 1104 1136 1242 1278 1633 1656 1704 1917 2484 2556 3266 3312 3408 3834 4899 4968 5112 6532 7668 9798 9936 10037 10224 13064 14697 15336 19596 20074 26128 29394 30111 30672 39192 40148 44091 58788 60222 78384 80296 88182 90333 117576 120444 160592 176364 180666 230851 235152 240888 270999 352728 361332 461702 481776 541998 692553 705456 712627 722664 923404 1083996 1385106 1425254 1445328 1846808 2077659 2137881 2167992 2770212 2850508 3693616 4155318 4275762 4335984 5540424 5701016 6232977 6413643 8310636 8551524 11080848 11402032 12465954 12827286 16390421 16621272 17103048 19240929 24931908 25654572 32780842 33242544 34206096 38481858 49171263 49863816 51309144 65561684 76963716 98342526 99727632 102618288 131123368 147513789 153927432 196685052 262246736 295027578 307854864 393370104 442541367 590055156 786740208 885082734 1180110312 1770165468 2360220624 3540330936 7080661872