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10696801720 = 2351123171293
BaseRepresentation
bin10011111011001010…
…00011110110111000
31000121110220211101111
421331211003312320
5133401340123340
64525233330104
7526035212563
oct117545036670
930543824344
1010696801720
11459a07a500
1220a6406934
131016179b97
147369074da
1542914caea
hex27d943db8

10696801720 has 96 divisors (see below), whose sum is σ = 27308453760. Its totient is φ = 3764217600.

The previous prime is 10696801681. The next prime is 10696801721. The reversal of 10696801720 is 2710869601.

It is a super-3 number, since 3×106968017203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10696801721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114394 + ... + 185686.

It is an arithmetic number, because the mean of its divisors is an integer number (284463060).

Almost surely, 210696801720 is an apocalyptic number.

10696801720 is a gapful number since it is divisible by the number (10) 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 10696801720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654226880).

10696801720 is an abundant number, since it is smaller than the sum of its proper divisors (16611652040).

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

10696801720 is a wasteful number, since it uses less digits than its factorization.

10696801720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71357 (or 71342 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 10696801720 in words is "ten billion, six hundred ninety-six million, eight hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 71293 75020 142586 150040 285172 356465 570344 712930 784223 1425860 1568446 2210083 2851720 3136892 3921115 4420166 6273784 7842230 8626453 8840332 11050415 15684460 17252906 17680664 22100830 24310913 31368920 34505812 43132265 44201660 48621826 69011624 86264530 88403320 97243652 121554565 172529060 194487304 243109130 267420043 345058120 486218260 534840086 972436520 1069680172 1337100215 2139360344 2674200430 5348400860 10696801720