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9899228860416 = 212327223412
BaseRepresentation
bin1001000000001101100000…
…0001010001000000000000
31022001100122021112221221100
42100003120001101000000
52244142110042013131
633015350513454400
72041124055653400
oct220033001210000
938040567487840
109899228860416
11317726a68a385
12113a653871400
1356a65495c28c
142631a78d6800
1512277d1827e6
hex900d8051000

9899228860416 has 351 divisors, whose sum is σ = 33276950259813. Its totient is φ = 2827142922240.

The previous prime is 9899228860393. The next prime is 9899228860429. The reversal of 9899228860416 is 6140688229989.

The square root of 9899228860416 is 3146304.

It is a perfect power (a square), and thus also a powerful number.

9899228860416 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 2 + 2 + 8 + 8 + 604 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6459242582016 + 3439986278400 = 2541504^2 + 1854720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4228631406 + ... + 4228633746.

Almost surely, 29899228860416 is an apocalyptic number.

9899228860416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9899228860416 is the 3146304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9899228860416

9899228860416 is an abundant number, since it is smaller than the sum of its proper divisors (23377721399397).

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

9899228860416 is an frugal number, since it uses more digits than its factorization.

9899228860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 9899228860416 in words is "nine trillion, eight hundred ninety-nine billion, two hundred twenty-eight million, eight hundred sixty thousand, four hundred sixteen".