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10661553904 = 241943181371
BaseRepresentation
bin10011110110111101…
…00110011011110000
31000112000121001110211
421323132212123300
5133313324211104
64521534033504
7525126466351
oct117336463360
930460531424
1010661553904
114581195281
122096648894
13100ba883a1
14731d6dd28
15425ed8e04
hex27b7a66f0

10661553904 has 40 divisors (see below), whose sum is σ = 21794676480. Its totient is φ = 5038430400.

The previous prime is 10661553899. The next prime is 10661553967. The reversal of 10661553904 is 40935516601.

It is a happy number.

It is a super-2 number, since 2×106615539042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 90339 + ... + 171709.

It is an arithmetic number, because the mean of its divisors is an integer number (544866912).

Almost surely, 210661553904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661553904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897338240).

10661553904 is an abundant number, since it is smaller than the sum of its proper divisors (11133122576).

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

10661553904 is a wasteful number, since it uses less digits than its factorization.

10661553904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81829 (or 81823 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 10661553904 in words is "ten billion, six hundred sixty-one million, five hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 431 862 1724 3448 6896 8189 16378 32756 65512 81371 131024 162742 325484 650968 1301936 1546049 3092098 6184196 12368392 24736784 35070901 70141802 140283604 280567208 561134416 666347119 1332694238 2665388476 5330776952 10661553904