Search a number
-
+
326640167140 = 2257279127139239
BaseRepresentation
bin1001100000011010100…
…01010110100011100100
31011020010010002201220011
410300031101112203210
520322424340322030
6410020104220004
732412306416200
oct4601521264344
91136103081804
10326640167140
1111658894a161
125337b16a604
1324a570c2811
1411b49277b00
15876b366b2a
hex4c0d4568e4

326640167140 has 288 divisors, whose sum is σ = 823689216000. Its totient is φ = 108457719552.

The previous prime is 326640167111. The next prime is 326640167173. The reversal of 326640167140 is 41761046623.

It is a junction number, because it is equal to n+sod(n) for n = 326640167093 and 326640167102.

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, 1366695141 + ... + 1366695379.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032000).

Almost surely, 2326640167140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326640167140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608000).

326640167140 is an abundant number, since it is smaller than the sum of its proper divisors (497049048860).

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

326640167140 is a wasteful number, since it uses less digits than its factorization.

326640167140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 326640167140 in words is "three hundred twenty-six billion, six hundred forty million, one hundred sixty-seven thousand, one hundred forty".