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162361658940 = 22351317611811109
BaseRepresentation
bin1001011100110110000…
…0100100111000111100
3120112002021002212000120
42113031200210320330
510130004041041230
6202330553454540
714505321221145
oct2271540447074
9515067085016
10162361658940
1162947a18508
1227572711450
131240661cb50
147c03432acc
154353e8d310
hex25cd824e3c

162361658940 has 384 divisors, whose sum is σ = 530268560640. Its totient is φ = 36760780800.

The previous prime is 162361658929. The next prime is 162361658941. The reversal of 162361658940 is 49856163261.

It is a super-2 number, since 2×1623616589402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162361658941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146403106 + ... + 146404214.

It is an arithmetic number, because the mean of its divisors is an integer number (1380907710).

Almost surely, 2162361658940 is an apocalyptic number.

162361658940 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 162361658940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265134280320).

162361658940 is an abundant number, since it is smaller than the sum of its proper divisors (367906901700).

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

162361658940 is a wasteful number, since it uses less digits than its factorization.

162361658940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 162361658940 in words is "one hundred sixty-two billion, three hundred sixty-one million, six hundred fifty-eight thousand, nine hundred forty".