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10993895424 = 2113522091
BaseRepresentation
bin10100011110100100…
…11000100000000000
31001101011221202100000
422033102120200000
5140003414123144
65014525200000
7536303366151
oct121722304000
931334852300
1010993895424
114731849396
122169a00000
13106289ab85
14764161928
15445285769
hex28f498800

10993895424 has 144 divisors (see below), whose sum is σ = 32929893360. Its totient is φ = 3664465920.

The previous prime is 10993895413. The next prime is 10993895489. The reversal of 10993895424 is 42459839901.

10993895424 is a `hidden beast` number, since 1 + 0 + 9 + 93 + 8 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486619 + ... + 508709.

It is an arithmetic number, because the mean of its divisors is an integer number (228679815).

Almost surely, 210993895424 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 10993895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464946680).

10993895424 is an abundant number, since it is smaller than the sum of its proper divisors (21935997936).

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

10993895424 is an frugal number, since it uses more digits than its factorization.

10993895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10993895424 in words is "ten billion, nine hundred ninety-three million, eight hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 20736 22091 27648 31104 41472 44182 55296 62208 66273 82944 88364 124416 132546 165888 176728 198819 248832 265092 353456 397638 497664 530184 596457 706912 795276 1060368 1192914 1413824 1590552 1789371 2120736 2385828 2827648 3181104 3578742 4241472 4771656 5368113 5655296 6362208 7157484 8482944 9543312 10736226 11310592 12724416 14314968 16965888 19086624 21472452 22621184 25448832 28629936 33931776 38173248 42944904 45242368 50897664 57259872 67863552 76346496 85889808 101795328 114519744 135727104 152692992 171779616 203590656 229039488 305385984 343559232 407181312 458078976 610771968 687118464 916157952 1221543936 1374236928 1832315904 2748473856 3664631808 5496947712 10993895424