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11042569692 = 223271111513461
BaseRepresentation
bin10100100100011000…
…00011110111011100
31001111120112122212200
422102030003313130
5140103344212232
65023424331500
7540434202510
oct122214036734
931446478780
1011042569692
114757274060
122182173b90
13106c9b0a0b
1476a7d2140
1544969c77c
hex292303ddc

11042569692 has 144 divisors (see below), whose sum is σ = 34841124864. Its totient is φ = 2864880000.

The previous prime is 11042569687. The next prime is 11042569781. The reversal of 11042569692 is 29696524011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188842 + ... + 3192302.

It is an arithmetic number, because the mean of its divisors is an integer number (241952256).

Almost surely, 211042569692 is an apocalyptic number.

11042569692 is a gapful number since it is divisible by the number (12) 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 11042569692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420562432).

11042569692 is an abundant number, since it is smaller than the sum of its proper divisors (23798555172).

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

11042569692 is a wasteful number, since it uses less digits than its factorization.

11042569692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11042569692 in words is "eleven billion, forty-two million, five hundred sixty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1151 1386 2302 2772 3453 3461 4604 6906 6922 8057 10359 10383 12661 13812 13844 16114 20718 20766 24171 24227 25322 31149 32228 37983 38071 41436 41532 48342 48454 50644 62298 72513 72681 75966 76142 88627 96684 96908 113949 114213 124596 145026 145362 151932 152284 177254 218043 227898 228426 265881 266497 290052 290724 342639 354508 436086 455796 456852 531762 532994 685278 797643 799491 872172 1063524 1065988 1370556 1595286 1598982 2398473 3190572 3197964 3983611 4796946 7967222 9593892 11950833 15934444 23901666 27885277 35852499 43819721 47803332 55770554 71704998 83655831 87639442 111541108 131459163 143409996 167311662 175278884 250967493 262918326 306738047 334623324 394377489 501934986 525836652 613476094 788754978 920214141 1003869972 1226952188 1577509956 1840428282 2760642423 3680856564 5521284846 11042569692