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11042613520 = 24510311291187
BaseRepresentation
bin10100100100011000…
…01110100100010000
31001111120121212222221
422102030032210100
5140103402113040
65023425310424
7540434444341
oct122214164420
931446555887
1011042613520
1147572a3a84
122182195414
13106c9c7953
1476a8040c8
154496aa74a
hex29230e910

11042613520 has 80 divisors (see below), whose sum is σ = 25968159360. Its totient is φ = 4366605312.

The previous prime is 11042613479. The next prime is 11042613523. The reversal of 11042613520 is 2531624011.

It is a happy number.

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

It is a super-3 number, since 3×110426135203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11042613523) 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, 9302367 + ... + 9303553.

It is an arithmetic number, because the mean of its divisors is an integer number (324601992).

Almost surely, 211042613520 is an apocalyptic number.

11042613520 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 11042613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984079680).

11042613520 is an abundant number, since it is smaller than the sum of its proper divisors (14925545840).

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

11042613520 is a wasteful number, since it uses less digits than its factorization.

11042613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 11042613520 in words is "eleven billion, forty-two million, six hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1129 1187 1648 2060 2258 2374 4120 4516 4748 5645 5935 8240 9032 9496 11290 11870 18064 18992 22580 23740 45160 47480 90320 94960 116287 122261 232574 244522 465148 489044 581435 611305 930296 978088 1162870 1222610 1340123 1860592 1956176 2325740 2445220 2680246 4651480 4890440 5360492 6700615 9302960 9780880 10720984 13401230 21441968 26802460 53604920 107209840 138032669 276065338 552130676 690163345 1104261352 1380326690 2208522704 2760653380 5521306760 11042613520