Search a number
-
+
10697976828 = 2235711197523
BaseRepresentation
bin10011111011010011…
…00010101111111100
31000121120010112100000
421331221202233330
5133402140224303
64525314434300
7526051205550
oct117551425774
930546115300
1010697976828
11459a802370
1220a6892990
13101649ba06
14736b31860
154292d0da3
hex27da62bfc

10697976828 has 288 divisors, whose sum is σ = 36808611840. Its totient is φ = 2632098240.

The previous prime is 10697976823. The next prime is 10697976829. The reversal of 10697976828 is 82867979601.

It is a super-2 number, since 2×106979768282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10697976823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1418275 + ... + 1425797.

It is an arithmetic number, because the mean of its divisors is an integer number (127807680).

Almost surely, 210697976828 is an apocalyptic number.

10697976828 is a gapful number since it is divisible by the number (18) 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 10697976828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404305920).

10697976828 is an abundant number, since it is smaller than the sum of its proper divisors (26110635012).

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

10697976828 is a wasteful number, since it uses less digits than its factorization.

10697976828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10697976828 in words is "ten billion, six hundred ninety-seven million, nine hundred seventy-six thousand, eight hundred twenty-eight".