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153940163094 = 23329253138839
BaseRepresentation
bin1000111101011110001…
…1000111101000010110
3112201100100120112112000
42033113203013220112
510010232140204334
6154415155540130
714056531540134
oct2172743075026
9481310515460
10153940163094
115a316232a93
1225a022ba646
1311693980203
147644baa754
15400e985299
hex23d78c7a16

153940163094 has 64 divisors (see below), whose sum is σ = 354034368000. Its totient is φ = 49523110560.

The previous prime is 153940163077. The next prime is 153940163171. The reversal of 153940163094 is 490361049351.

153940163094 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 4 + 0 + 1 + 630 + 9 + 4 = 666.

It is a super-3 number, since 3×1539401630943 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3944127 + ... + 3982965.

It is an arithmetic number, because the mean of its divisors is an integer number (5531787000).

Almost surely, 2153940163094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153940163094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177017184000).

153940163094 is an abundant number, since it is smaller than the sum of its proper divisors (200094204906).

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

153940163094 is a wasteful number, since it uses less digits than its factorization.

153940163094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41404 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 153940163094 in words is "one hundred fifty-three billion, nine hundred forty million, one hundred sixty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2531 5062 7593 15186 22779 38839 45558 68337 73399 77678 116517 136674 146798 220197 233034 349551 440394 660591 699102 1048653 1126331 1321182 1981773 2097306 2252662 3378993 3963546 6757986 10136979 20273958 30410937 60821874 98301509 196603018 294904527 589809054 884713581 1769427162 2654140743 2850743761 5308281486 5701487522 8552231283 17104462566 25656693849 51313387698 76970081547 153940163094