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106474146632 = 23721779263769
BaseRepresentation
bin110001100101001011…
…0101000101101001000
3101011211100220001211022
41203022112220231020
53221024340143012
6120525154252012
710456346212400
oct1431226505510
9334740801738
10106474146632
1141178975307
1218775b87008
13a06abaab39
145220c15800
152b827d0472
hex18ca5a8b48

106474146632 has 192 divisors, whose sum is σ = 250278336000. Its totient is φ = 42187751424.

The previous prime is 106474146631. The next prime is 106474146641. The reversal of 106474146632 is 236641474601.

It is a super-2 number, since 2×1064741466322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106474146631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138457544 + ... + 138458312.

It is an arithmetic number, because the mean of its divisors is an integer number (1303533000).

Almost surely, 2106474146632 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 106474146632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168000).

106474146632 is an abundant number, since it is smaller than the sum of its proper divisors (143804189368).

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

106474146632 is a wasteful number, since it uses less digits than its factorization.

106474146632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 106474146632 in words is "one hundred six billion, four hundred seventy-four million, one hundred forty-six thousand, six hundred thirty-two".