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11001999257344 = 282953239116993
BaseRepresentation
bin1010000000011001101001…
…0000011110111100000000
31102221210002020121110210201
42200012122100132330000
52420224043302213334
635222125414334544
72213603540453044
oct240063220367400
942853066543721
1011001999257344
113561a15839607
12129831735a454
1361a63a69b374
142a06dccba024
151412c1e71c14
hexa019a41ef00

11001999257344 has 144 divisors (see below), whose sum is σ = 23243993539200. Its totient is φ = 5189248483328.

The previous prime is 11001999257299. The next prime is 11001999257393. The reversal of 11001999257344 is 44375299910011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93981312 + ... + 94098304.

It is an arithmetic number, because the mean of its divisors is an integer number (161416621800).

Almost surely, 211001999257344 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 11001999257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621996769600).

11001999257344 is an abundant number, since it is smaller than the sum of its proper divisors (12241994281856).

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

11001999257344 is a wasteful number, since it uses less digits than its factorization.

11001999257344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117330 (or 117316 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 11001999257344 in words is "eleven trillion, one billion, nine hundred ninety-nine million, two hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 239 256 424 464 478 848 928 956 1537 1696 1856 1912 3074 3392 3712 3824 6148 6784 6931 7424 7648 12296 12667 13568 13862 15296 24592 25334 27724 30592 49184 50668 55448 61184 98368 101336 110896 116993 196736 202672 221792 233986 367343 393472 405344 443584 467972 734686 810688 887168 935944 1469372 1621376 1774336 1871888 2938744 3242752 3392797 3743776 5877488 6200629 6785594 7487552 11754976 12401258 13571188 14975104 23509952 24802516 27142376 27961327 29950208 47019904 49605032 54284752 55922654 94039808 99210064 108569504 111845308 179818241 198420128 217139008 223690616 359636482 396840256 434278016 447381232 719272964 793680512 810878483 868556032 894762464 1438545928 1481950331 1587361024 1621756966 1789524928 2877091856 2963900662 3243513932 3579049856 5754183712 5927801324 6487027864 7158099712 11508367424 11855602648 12974055728 23016734848 23711205296 25948111456 42976559599 46033469696 47422410592 51896222912 85953119198 94844821184 103792445824 171906238396 189689642368 207584891648 343812476792 379379284736 687624953584 1375249907168 2750499814336 5500999628672 11001999257344