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161115900422400 = 28365271117233137
BaseRepresentation
bin100100101000100010111000…
…000000110010100100000000
3210010110112022010012222000000
4210220202320000302210000
5132104210331002004100
61330355342312000000
745636145131313110
oct4450427000624400
9703415263188000
10161115900422400
1147377962561a30
12160a1411090000
136bb9219a2c461
142bb00a0663040
151395edabe9900
hex9288b8032900

161115900422400 has 12096 divisors, whose sum is σ = 873154930507776. Its totient is φ = 28378791936000.

The previous prime is 161115900422381. The next prime is 161115900422419. The reversal of 161115900422400 is 4224009511161.

161115900422400 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 1 + 590 + 0 + 4 + 22 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161115900422381) and next prime (161115900422419).

It is a tau number, because it is divible by the number of its divisors (12096).

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

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 4354483795182 + ... + 4354483795218.

It is an arithmetic number, because the mean of its divisors is an integer number (72185427456).

Almost surely, 2161115900422400 is an apocalyptic number.

161115900422400 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 161115900422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436577465253888).

161115900422400 is an abundant number, since it is smaller than the sum of its proper divisors (712039030085376).

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

161115900422400 is a wasteful number, since it uses less digits than its factorization.

161115900422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 161115900422400 its reverse (4224009511161), we get a palindrome (165339909933561).

The spelling of 161115900422400 in words is "one hundred sixty-one trillion, one hundred fifteen billion, nine hundred million, four hundred twenty-two thousand, four hundred".