Search a number
-
+
161378481600 = 2633527310891
BaseRepresentation
bin1001011001001011101…
…0000011010111000000
3120102112202002021021000
42112102322003113000
510121000342402400
6202045232532000
714442052314000
oct2262272032700
9512482067230
10161378481600
1162492a44856
12273393b1000
13122aaa22acb
147b4ca24000
1542e79d1600
hex2592e835c0

161378481600 has 672 divisors, whose sum is σ = 686108864000. Its totient is φ = 36883123200.

The previous prime is 161378481587. The next prime is 161378481613. The reversal of 161378481600 is 6184873161.

161378481600 is a `hidden beast` number, since 1 + 6 + 1 + 37 + 8 + 4 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (161378481587) and next prime (161378481613).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 14812155 + ... + 14823045.

Almost surely, 2161378481600 is an apocalyptic number.

161378481600 is a gapful number since it is divisible by the number (10) 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 161378481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343054432000).

161378481600 is an abundant number, since it is smaller than the sum of its proper divisors (524730382400).

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

161378481600 is a wasteful number, since it uses less digits than its factorization.

161378481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 161378481600 in words is "one hundred sixty-one billion, three hundred seventy-eight million, four hundred eighty-one thousand, six hundred".