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10521301840 = 245729364123
BaseRepresentation
bin10011100110001111…
…00101001101010000
31000011020200111210221
421303013211031100
5133021423124330
64500004002424
7521504406250
oct116307451520
930136614727
1010521301840
11450a000885
122057690414
13cb89c03ba
1471b4a1960
15418a32b7a
hex2731e5350

10521301840 has 80 divisors (see below), whose sum is σ = 28052454528. Its totient is φ = 3594935808.

The previous prime is 10521301829. The next prime is 10521301849. The reversal of 10521301840 is 4810312501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105213018402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521301849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132019 + ... + 196141.

Almost surely, 210521301840 is an apocalyptic number.

10521301840 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 10521301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026227264).

10521301840 is an abundant number, since it is smaller than the sum of its proper divisors (17531152688).

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

10521301840 is a wasteful number, since it uses less digits than its factorization.

10521301840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64436 (or 64430 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 10521301840 in words is "ten billion, five hundred twenty-one million, three hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8204 10255 11720 16408 20510 23440 32816 41020 64123 82040 128246 164080 256492 320615 448861 512984 641230 897722 1025968 1282460 1795444 2244305 2564920 3590888 4488610 5129840 7181776 8977220 17954440 18788039 35908880 37576078 75152156 93940195 131516273 150304312 187880390 263032546 300608624 375760780 526065092 657581365 751521560 1052130184 1315162730 1503043120 2104260368 2630325460 5260650920 10521301840