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11429522880 = 263526934421
BaseRepresentation
bin10101010010100000…
…01010110111000000
31002111112122220212020
422221100022313000
5141401424213010
65130050201440
7553143225066
oct125120126700
932445586766
1011429522880
114935738786
12226b883280
131101c049b9
147a5d5c036
1546d635470
hex2a940adc0

11429522880 has 112 divisors (see below), whose sum is σ = 36310421664. Its totient is φ = 3046051840.

The previous prime is 11429522873. The next prime is 11429522887. The reversal of 11429522880 is 8822592411.

It is an interprime number because it is at equal distance from previous prime (11429522873) and next prime (11429522887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429522887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2583070 + ... + 2587490.

Almost surely, 211429522880 is an apocalyptic number.

11429522880 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 11429522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155210832).

11429522880 is an abundant number, since it is smaller than the sum of its proper divisors (24880898784).

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

11429522880 is a wasteful number, since it uses less digits than its factorization.

11429522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 11429522880 in words is "eleven billion, four hundred twenty-nine million, five hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2693 4421 5386 8079 8842 10772 13263 13465 16158 17684 21544 22105 26526 26930 32316 35368 40395 43088 44210 53052 53860 64632 66315 70736 80790 86176 88420 106104 107720 129264 132630 141472 161580 172352 176840 212208 215440 258528 265260 282944 323160 353680 424416 430880 517056 530520 646320 707360 848832 861760 1061040 1292640 1414720 2122080 2585280 4244160 11905753 23811506 35717259 47623012 59528765 71434518 95246024 119057530 142869036 178586295 190492048 238115060 285738072 357172590 380984096 476230120 571476144 714345180 761968192 952460240 1142952288 1428690360 1904920480 2285904576 2857380720 3809840960 5714761440 11429522880