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19485444096 = 211324792207
BaseRepresentation
bin10010001001011011…
…000100100000000000
31212021222022010020200
4102021123010200000
5304401233202341
612541304405200
71256603353626
oct221133044000
955258263220
1019485444096
11829a030608
123939776800
131ab6bc73a1
14d2bc21516
157909c9db6
hex4896c4800

19485444096 has 144 divisors (see below), whose sum is σ = 56420582400. Its totient is φ = 6478651392.

The previous prime is 19485444073. The next prime is 19485444101. The reversal of 19485444096 is 69044458491.

19485444096 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 544 + 4 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8827825 + ... + 8830031.

It is an arithmetic number, because the mean of its divisors is an integer number (391809600).

Almost surely, 219485444096 is an apocalyptic number.

19485444096 is a gapful number since it is divisible by the number (16) 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 19485444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210291200).

19485444096 is an abundant number, since it is smaller than the sum of its proper divisors (36935138304).

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

19485444096 is a wasteful number, since it uses less digits than its factorization.

19485444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 19485444096 in words is "nineteen billion, four hundred eighty-five million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 512 576 768 958 1024 1152 1437 1536 1916 2048 2207 2304 2874 3072 3832 4311 4414 4608 5748 6144 6621 7664 8622 8828 9216 11496 13242 15328 17244 17656 18432 19863 22992 26484 30656 34488 35312 39726 45984 52968 61312 68976 70624 79452 91968 105936 122624 137952 141248 158904 183936 211872 245248 275904 282496 317808 367872 423744 490496 551808 564992 635616 735744 847488 980992 1057153 1103616 1129984 1271232 1471488 1694976 2114306 2207232 2259968 2542464 2942976 3171459 3389952 4228612 4414464 4519936 5084928 6342918 6779904 8457224 8828928 9514377 10169856 12685836 13559808 16914448 19028754 20339712 25371672 33828896 38057508 40679424 50743344 67657792 76115016 101486688 135315584 152230032 202973376 270631168 304460064 405946752 541262336 608920128 811893504 1082524672 1217840256 1623787008 2165049344 2435680512 3247574016 4871361024 6495148032 9742722048 19485444096