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11040203504 = 24112371107359
BaseRepresentation
bin10100100100000110…
…00010001011110000
31001111102002110002002
422102003002023300
5140102243003004
65023301513132
7540405116141
oct122203021360
931442073062
1011040203504
1147559a8330
1221814127a8
13106c3629c5
1476a377ac8
1544938161e
hex2920c22f0

11040203504 has 160 divisors (see below), whose sum is σ = 24992686080. Its totient is φ = 4675193600.

The previous prime is 11040203467. The next prime is 11040203521. The reversal of 11040203504 is 40530204011.

It is a super-3 number, since 3×110402035043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30752477 + ... + 30752835.

It is an arithmetic number, because the mean of its divisors is an integer number (156204288).

Almost surely, 211040203504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040203504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496343040).

11040203504 is an abundant number, since it is smaller than the sum of its proper divisors (13952482576).

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

11040203504 is a wasteful number, since it uses less digits than its factorization.

11040203504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11040203504 its reverse (40530204011), we get a palindrome (51570407515).

The spelling of 11040203504 in words is "eleven billion, forty million, two hundred three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 71 88 92 107 142 176 184 214 253 284 359 368 428 506 568 718 781 856 1012 1136 1177 1436 1562 1633 1712 2024 2354 2461 2872 3124 3266 3949 4048 4708 4922 5744 6248 6532 7597 7898 8257 9416 9844 12496 13064 15194 15796 16514 17963 18832 19688 25489 26128 27071 30388 31592 33028 35926 38413 39376 50978 54142 60776 63184 66056 71852 76826 83567 90827 101956 108284 121552 132112 143704 153652 167134 174731 181654 203912 216568 280379 287408 307304 334268 349462 363308 407824 422543 433136 560758 586247 614608 668536 698924 726616 845086 883499 1121516 1172494 1337072 1397848 1453232 1690172 1766998 1922041 2243032 2344988 2727323 2795696 3380344 3533996 3844082 4486064 4689976 5454646 6448717 6760688 7067992 7688164 9379952 9718489 10909292 12897434 14135984 15376328 19436978 21818584 25794868 30000553 30752656 38873956 43637168 51589736 60001106 62728429 77747912 103179472 120002212 125456858 155495824 240004424 250913716 480008848 501827432 690012719 1003654864 1380025438 2760050876 5520101752 11040203504