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10051410880 = 26577361469
BaseRepresentation
bin10010101110001110…
…00101101111000000
3221221111111120121001
421113013011233000
5131041130122010
64341220341344
7504040403620
oct112707055700
927844446531
1010051410880
114298839845
121b46244854
13c4254ab04
146b4d06880
153dc665c3a
hex2571c5bc0

10051410880 has 112 divisors (see below), whose sum is σ = 27729362880. Its totient is φ = 3398934528.

The previous prime is 10051410877. The next prime is 10051410959. The reversal of 10051410880 is 8801415001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132786 + ... + 194254.

Almost surely, 210051410880 is an apocalyptic number.

10051410880 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 10051410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864681440).

10051410880 is an abundant number, since it is smaller than the sum of its proper divisors (17677952000).

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

10051410880 is an equidigital number, since it uses as much as digits as its factorization.

10051410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61566 (or 61556 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

Adding to 10051410880 its reverse (8801415001), we get a palindrome (18852825881).

The spelling of 10051410880 in words is "ten billion, fifty-one million, four hundred ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 140 146 160 224 280 292 320 365 448 511 560 584 730 1022 1120 1168 1460 2044 2240 2336 2555 2920 4088 4672 5110 5840 8176 10220 11680 16352 20440 23360 32704 40880 61469 81760 122938 163520 245876 307345 430283 491752 614690 860566 983504 1229380 1721132 1967008 2151415 2458760 3442264 3934016 4302830 4487237 4917520 6884528 8605660 8974474 9835040 13769056 17211320 17948948 19670080 22436185 27538112 31410659 34422640 35897896 44872370 62821318 68845280 71795792 89744740 125642636 137690560 143591584 157053295 179489480 251285272 287183168 314106590 358978960 502570544 628213180 717957920 1005141088 1256426360 1435915840 2010282176 2512852720 5025705440 10051410880