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161741047104 = 26337213289127
BaseRepresentation
bin1001011010100010000…
…1001000010101000000
3120110111000022111122000
42112220201020111000
510122221202001404
6202145223544000
714454044134200
oct2265041102500
9513430274560
10161741047104
116265967166a
122741a8bb000
1312337b88500
147b84c42400
15431974d339
hex25a8848540

161741047104 has 1008 divisors, whose sum is σ = 610438809600. Its totient is φ = 41845579776.

The previous prime is 161741047079. The next prime is 161741047183. The reversal of 161741047104 is 401740147161.

161741047104 is a `hidden beast` number, since 1 + 6 + 174 + 10 + 471 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1273551489 + ... + 1273551615.

Almost surely, 2161741047104 is an apocalyptic number.

161741047104 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 161741047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305219404800).

161741047104 is an abundant number, since it is smaller than the sum of its proper divisors (448697762496).

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

161741047104 is a wasteful number, since it uses less digits than its factorization.

161741047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 161741047104 in words is "one hundred sixty-one billion, seven hundred forty-one million, forty-seven thousand, one hundred four".