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10693969440 = 2535711893251
BaseRepresentation
bin10011111010110100…
…10000011000100000
31000121021120221020020
421331122100120200
5133400124010230
64525052513440
7526002145320
oct117532203040
930537527206
1010693969440
114598515580
1220a547b880
1310156c798b
147363ab280
15428c8d810
hex27d690620

10693969440 has 384 divisors, whose sum is σ = 42483087360. Its totient is φ = 2196480000.

The previous prime is 10693969423. The next prime is 10693969457. The reversal of 10693969440 is 4496939601.

It is an interprime number because it is at equal distance from previous prime (10693969423) and next prime (10693969457).

It is a super-2 number, since 2×106939694402 (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 63 ways as a sum of consecutive naturals, for example, 3287815 + ... + 3291065.

It is an arithmetic number, because the mean of its divisors is an integer number (110633040).

Almost surely, 210693969440 is an apocalyptic number.

10693969440 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 10693969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241543680).

10693969440 is an abundant number, since it is smaller than the sum of its proper divisors (31789117920).

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

10693969440 is a wasteful number, since it uses less digits than its factorization.

10693969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 10693969440 in words is "ten billion, six hundred ninety-three million, nine hundred sixty-nine thousand, four hundred forty".