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161938888151040 = 212325711131276911
BaseRepresentation
bin100100110100100001010101…
…111001110101000000000000
3210020101012120112211022102200
4210310201111321311000000
5132211201320331313130
61332225410451113200
746052461416505140
oct4464412571650000
9706335515738380
10161938888151040
1147664995694470
12161b4a11ba2800
136c48a0535c610
142bdbc53a00920
1513ac6071c5760
hex934855e75000

161938888151040 has 2496 divisors, whose sum is σ = 759704145887232. Its totient is φ = 30812169830400.

The previous prime is 161938888150999. The next prime is 161938888151101. The reversal of 161938888151040 is 40151888839161.

161938888151040 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 38 + 8 + 8 + 81 + 510 + 4 + 0 = 666.

161938888151040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23432045185 + ... + 23432052095.

It is an arithmetic number, because the mean of its divisors is an integer number (304368648192).

Almost surely, 2161938888151040 is an apocalyptic number.

161938888151040 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 161938888151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379852072943616).

161938888151040 is an abundant number, since it is smaller than the sum of its proper divisors (597765257736192).

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

161938888151040 is a wasteful number, since it uses less digits than its factorization.

161938888151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 161938888151040 in words is "one hundred sixty-one trillion, nine hundred thirty-eight billion, eight hundred eighty-eight million, one hundred fifty-one thousand, forty".