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9953357392896 = 210318611741013
BaseRepresentation
bin1001000011010111001001…
…0101001110110000000000
31022020112100120221022102120
42100311302111032300000
52301033433443033041
633100302000044240
72045051321622111
oct220656225166000
938215316838376
109953357392896
113198216845a45
12114903b303680
1357279cb44218
14265a60678208
15123d9a1db366
hex90d7254ec00

9953357392896 has 88 divisors (see below), whose sum is σ = 26543596940784. Its totient is φ = 3316001095680.

The previous prime is 9953357392889. The next prime is 9953357392903. The reversal of 9953357392896 is 6982937533599.

It is an interprime number because it is at equal distance from previous prime (9953357392889) and next prime (9953357392903).

It is a super-2 number, since 2×99533573928962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4846486 + ... + 6587498.

It is an arithmetic number, because the mean of its divisors is an integer number (301631783418).

Almost surely, 29953357392896 is an apocalyptic number.

9953357392896 is a gapful number since it is divisible by the number (96) 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 9953357392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271798470392).

9953357392896 is an abundant number, since it is smaller than the sum of its proper divisors (16590239547888).

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

9953357392896 is a wasteful number, since it uses less digits than its factorization.

9953357392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742897 (or 1742879 counting only the distinct ones).

The product of its digits is 2976069600, while the sum is 78.

The spelling of 9953357392896 in words is "nine trillion, nine hundred fifty-three billion, three hundred fifty-seven million, three hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1861 3072 3722 5583 7444 11166 14888 22332 29776 44664 59552 89328 119104 178656 238208 357312 476416 714624 952832 1429248 1741013 1905664 2858496 3482026 5223039 5716992 6964052 10446078 13928104 20892156 27856208 41784312 55712416 83568624 111424832 167137248 222849664 334274496 445699328 668548992 891398656 1337097984 1782797312 2674195968 3240025193 5348391936 6480050386 9720075579 12960100772 19440151158 25920201544 38880302316 51840403088 77760604632 103680806176 155521209264 207361612352 311042418528 414723224704 622084837056 829446449408 1244169674112 1658892898816 2488339348224 3317785797632 4976678696448 9953357392896