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10051055600 = 2452313172557
BaseRepresentation
bin10010101110001011…
…01110111111110000
3221221110211112020112
421113011232333300
5131041032234400
64341205000452
7504034364045
oct112705567760
927843745215
1010051055600
114298616923
121b460b3128
13c424551a1
146b4c531cc
153dc5e5835
hex25716eff0

10051055600 has 120 divisors (see below), whose sum is σ = 25015029888. Its totient is φ = 3876940800.

The previous prime is 10051055557. The next prime is 10051055617. The reversal of 10051055600 is 655015001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3929522 + ... + 3932078.

Almost surely, 210051055600 is an apocalyptic number.

10051055600 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 10051055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507514944).

10051055600 is an abundant number, since it is smaller than the sum of its proper divisors (14963974288).

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

10051055600 is a wasteful number, since it uses less digits than its factorization.

10051055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10051055600 in words is "ten billion, fifty-one million, fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 317 400 496 620 634 775 1240 1268 1550 1585 2480 2536 2557 3100 3170 5072 5114 6200 6340 7925 9827 10228 12400 12680 12785 15850 19654 20456 25360 25570 31700 39308 40912 49135 51140 63400 63925 78616 79267 98270 102280 126800 127850 157232 158534 196540 204560 245675 255700 317068 393080 396335 491350 511400 634136 786160 792670 810569 982700 1022800 1268272 1585340 1621138 1965400 1981675 3170680 3242276 3930800 3963350 4052845 6341360 6484552 7926700 8105690 12969104 15853400 16211380 20264225 25127639 31706800 32422760 40528450 50255278 64845520 81056900 100510556 125638195 162113800 201021112 251276390 324227600 402042224 502552780 628190975 1005105560 1256381950 2010211120 2512763900 5025527800 10051055600