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348248672601228 = 2232722332532638633
BaseRepresentation
bin100111100101110101111011…
…0011011001000010010001100
31200200001020200202122000100200
41033023223312123020102030
5331121201240141214403
63232355122005253500
7133232064516016500
oct11713536633102214
91620036622560320
10348248672601228
11a0a6548394a6a3
1233084b13a04290
1311c4192a643649
1461dd47b98c300
152a3db31a06ca3
hex13cbaf66c848c

348248672601228 has 216 divisors, whose sum is σ = 1068868288601568. Its totient is φ = 95144257055232.

The previous prime is 348248672601191. The next prime is 348248672601331. The reversal of 348248672601228 is 822106276842843.

348248672601228 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 486 + 7 + 26 + 0 + 122 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130661400 + ... + 133300032.

Almost surely, 2348248672601228 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 348248672601228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534434144300784).

348248672601228 is an abundant number, since it is smaller than the sum of its proper divisors (720619616000340).

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

348248672601228 is a wasteful number, since it uses less digits than its factorization.

348248672601228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641933 (or 2641921 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 348248672601228 in words is "three hundred forty-eight trillion, two hundred forty-eight billion, six hundred seventy-two million, six hundred one thousand, two hundred twenty-eight".