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97282818048 = 21731319031
BaseRepresentation
bin101101010011010000…
…0100000000000000000
3100022002210210012100010
41122212200200000000
53043213400134143
6112405140224520
710012521211143
oct1324640400000
9308083705303
1097282818048
1138291684089
1216a2b99b140
1392348bb480
1449cc23805a
1527e590da33
hex16a6820000

97282818048 has 144 divisors (see below), whose sum is σ = 279389912256. Its totient is φ = 29931601920.

The previous prime is 97282818041. The next prime is 97282818049. The reversal of 97282818048 is 84081828279.

It is not an unprimeable number, because it can be changed into a prime (97282818041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5102293 + ... + 5121323.

It is an arithmetic number, because the mean of its divisors is an integer number (1940207724).

Almost surely, 297282818048 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 97282818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139694956128).

97282818048 is an abundant number, since it is smaller than the sum of its proper divisors (182107094208).

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

97282818048 is an equidigital number, since it uses as much as digits as its factorization.

97282818048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 97282818048 in words is "ninety-seven billion, two hundred eighty-two million, eight hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16384 19031 19968 24576 26624 32768 38062 39936 49152 53248 57093 65536 76124 79872 98304 106496 114186 131072 152248 159744 196608 212992 228372 247403 304496 319488 393216 425984 456744 494806 608992 638976 742209 851968 913488 989612 1217984 1277952 1484418 1703936 1826976 1979224 2435968 2555904 2968836 3653952 3958448 4871936 5111808 5937672 7307904 7916896 9743872 11875344 14615808 15833792 19487744 23750688 29231616 31667584 38975488 47501376 58463232 63335168 77950976 95002752 116926464 126670336 155901952 190005504 233852928 253340672 311803904 380011008 467705856 506681344 623607808 760022016 935411712 1013362688 1247215616 1520044032 1870823424 2026725376 2494431232 3040088064 3741646848 4053450752 6080176128 7483293696 8106901504 12160352256 16213803008 24320704512 32427606016 48641409024 97282818048