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9943378663680 = 28355711415171
BaseRepresentation
bin1001000010110001111110…
…0011011001100100000000
31022012120121011012100100000
42100230133203121210000
52300403014414214210
633051531453200000
72044246123051110
oct220543743314400
938176534170300
109943378663680
113193a66039aa0
121147115490000
1357186c693717
14265395291040
151239b4130ac0
hex90b1f8d9900

9943378663680 has 864 divisors, whose sum is σ = 44480823948288. Its totient is φ = 2066151628800.

The previous prime is 9943378663613. The next prime is 9943378663697. The reversal of 9943378663680 is 863668733499.

It is a happy number.

9943378663680 is a `hidden beast` number, since 9 + 9 + 433 + 7 + 86 + 6 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×99433786636802 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9943378663599 and 9943378663608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23742495 + ... + 24157665.

Almost surely, 29943378663680 is an apocalyptic number.

9943378663680 is a gapful number since it is divisible by the number (90) 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 9943378663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240411974144).

9943378663680 is an abundant number, since it is smaller than the sum of its proper divisors (34537445284608).

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

9943378663680 is a wasteful number, since it uses less digits than its factorization.

9943378663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415225 (or 415199 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 9943378663680 in words is "nine trillion, nine hundred forty-three billion, three hundred seventy-eight million, six hundred sixty-three thousand, six hundred eighty".