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1630378399104 = 273571317311093
BaseRepresentation
bin10111101110011010001…
…000000001010110000000
312202212021212121001100000
4113232122020001112000
5203203003332232404
63244552511200000
7225535203510210
oct27563210012600
95685255531300
101630378399104
11579492114354
12223b8a516000
13ba989808720
1458ca70b6240
152c623556339
hex17b9a201580

1630378399104 has 1536 divisors, whose sum is σ = 6550876200960. Its totient is φ = 391283343360.

The previous prime is 1630378399081. The next prime is 1630378399241. The reversal of 1630378399104 is 4019938730361.

It is a happy number.

1630378399104 is a `hidden beast` number, since 163 + 0 + 378 + 3 + 9 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1491653982 + ... + 1491655074.

It is an arithmetic number, because the mean of its divisors is an integer number (4264893360).

Almost surely, 21630378399104 is an apocalyptic number.

1630378399104 is a gapful number since it is divisible by the number (14) 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 1630378399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275438100480).

1630378399104 is an abundant number, since it is smaller than the sum of its proper divisors (4920497801856).

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

1630378399104 is a wasteful number, since it uses less digits than its factorization.

1630378399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1630378399104 in words is "one trillion, six hundred thirty billion, three hundred seventy-eight million, three hundred ninety-nine thousand, one hundred four".