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161904875520 = 2113531197863
BaseRepresentation
bin1001011011001001001…
…0000101100000000000
3120110220102120211222010
42112302102011200000
510123040122004040
6202213355212520
714461103510103
oct2266222054000
9513812524863
10161904875520
1162733099353
1227465747140
1312362ab96bb
147b9c8ca73a
154328d0ee80
hex25b2485800

161904875520 has 384 divisors, whose sum is σ = 538014597120. Its totient is φ = 41521643520.

The previous prime is 161904875513. The next prime is 161904875521. The reversal of 161904875520 is 25578409161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 161904875520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161904875521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187606609 + ... + 187607471.

It is an arithmetic number, because the mean of its divisors is an integer number (1401079680).

Almost surely, 2161904875520 is an apocalyptic number.

161904875520 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 161904875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269007298560).

161904875520 is an abundant number, since it is smaller than the sum of its proper divisors (376109721600).

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

161904875520 is a wasteful number, since it uses less digits than its factorization.

161904875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 161904875520 in words is "one hundred sixty-one billion, nine hundred four million, eight hundred seventy-five thousand, five hundred twenty".