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11080826880 = 219351409
BaseRepresentation
bin10100101000111100…
…00000000000000000
31001121020112022212120
422110132000000000
5140143142430010
65031312324240
7541410321504
oct122436000000
931536468776
1011080826880
114776924272
122192b43680
1310778b71c6
14771910304
1544cc07e70
hex294780000

11080826880 has 160 divisors (see below), whose sum is σ = 35483778000. Its totient is φ = 2952790016.

The previous prime is 11080826873. The next prime is 11080826893. The reversal of 11080826880 is 8862808011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7863616 + ... + 7865024.

Almost surely, 211080826880 is an apocalyptic number.

11080826880 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 11080826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741889000).

11080826880 is an abundant number, since it is smaller than the sum of its proper divisors (24402951120).

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

11080826880 is an frugal number, since it uses more digits than its factorization.

11080826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 11080826880 in words is "eleven billion, eighty million, eight hundred twenty-six 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 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1409 1536 1920 2048 2560 2818 3072 3840 4096 4227 5120 5636 6144 7045 7680 8192 8454 10240 11272 12288 14090 15360 16384 16908 20480 21135 22544 24576 28180 30720 32768 33816 40960 42270 45088 49152 56360 61440 65536 67632 81920 84540 90176 98304 112720 122880 131072 135264 163840 169080 180352 196608 225440 245760 262144 270528 327680 338160 360704 393216 450880 491520 524288 541056 655360 676320 721408 786432 901760 983040 1082112 1310720 1352640 1442816 1572864 1803520 1966080 2164224 2621440 2705280 2885632 3607040 3932160 4328448 5410560 5771264 7214080 7864320 8656896 10821120 11542528 14428160 17313792 21642240 23085056 28856320 34627584 43284480 46170112 57712640 69255168 86568960 92340224 115425280 138510336 173137920 184680448 230850560 277020672 346275840 369360896 461701120 554041344 692551680 738721792 923402240 1108082688 1385103360 1846804480 2216165376 2770206720 3693608960 5540413440 11080826880