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10541013504 = 2937980377
BaseRepresentation
bin10011101000100101…
…10001101000000000
31000012121202222010120
421310102301220000
5133041444413004
64501550300240
7522134064540
oct116422615000
930177688116
1010541013504
11451a14450a
1220621b7680
13cbcb024c8
1471dd53320
1541a6283d9
hex2744b1a00

10541013504 has 80 divisors (see below), whose sum is σ = 32093654208. Its totient is φ = 3011715072.

The previous prime is 10541013503. The next prime is 10541013517. The reversal of 10541013504 is 40531014501.

It is a happy number.

It is a super-2 number, since 2×105410135042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10541013503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479437 + ... + 500940.

Almost surely, 210541013504 is an apocalyptic number.

10541013504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10541013504 is an abundant number, since it is smaller than the sum of its proper divisors (21552640704).

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

10541013504 is an frugal number, since it uses more digits than its factorization.

10541013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980405 (or 980389 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10541013504 in words is "ten billion, five hundred forty-one million, thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 980377 1960754 2941131 3921508 5882262 6862639 7843016 11764524 13725278 15686032 20587917 23529048 27450556 31372064 41175834 47058096 54901112 62744128 82351668 94116192 109802224 125488256 164703336 188232384 219604448 250976512 329406672 376464768 439208896 501953024 658813344 752929536 878417792 1317626688 1505859072 1756835584 2635253376 3513671168 5270506752 10541013504