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9219483648 = 211322232243
BaseRepresentation
bin10001001011000011…
…00010100000000000
3212210112002021222100
420211201202200000
5122340141434043
64122501310400
7444316214034
oct104541424000
925715067870
109219483648
113a01181581
121953705400
13b3c09998b
1463662a1c4
1538e5d3cd3
hex225862800

9219483648 has 144 divisors (see below), whose sum is σ = 26758892160. Its totient is φ = 3058016256.

The previous prime is 9219483643. The next prime is 9219483659. The reversal of 9219483648 is 8463849129.

9219483648 is a `hidden beast` number, since 92 + 19 + 483 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9219483594 and 9219483603.

It is not an unprimeable number, because it can be changed into a prime (9219483643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4109215 + ... + 4111457.

It is an arithmetic number, because the mean of its divisors is an integer number (185825640).

Almost surely, 29219483648 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 9219483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379446080).

9219483648 is an abundant number, since it is smaller than the sum of its proper divisors (17539408512).

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

9219483648 is a wasteful number, since it uses less digits than its factorization.

9219483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2471 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9219483648 is about 96018.1422857160. The cubic root of 9219483648 is about 2096.8572528211.

The spelling of 9219483648 in words is "nine billion, two hundred nineteen million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 512 576 669 768 892 1024 1152 1338 1536 1784 2007 2048 2243 2304 2676 3072 3568 4014 4486 4608 5352 6144 6729 7136 8028 8972 9216 10704 13458 14272 16056 17944 18432 20187 21408 26916 28544 32112 35888 40374 42816 53832 57088 64224 71776 80748 85632 107664 114176 128448 143552 161496 171264 215328 228352 256896 287104 322992 342528 430656 456704 500189 513792 574208 645984 685056 861312 1000378 1027584 1148416 1291968 1370112 1500567 1722624 2000756 2055168 2296832 2583936 3001134 3445248 4001512 4110336 4501701 4593664 5167872 6002268 6890496 8003024 9003402 10335744 12004536 13780992 16006048 18006804 20671488 24009072 32012096 36013608 41342976 48018144 64024192 72027216 96036288 128048384 144054432 192072576 256096768 288108864 384145152 512193536 576217728 768290304 1024387072 1152435456 1536580608 2304870912 3073161216 4609741824 9219483648