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153950061056 = 291149195557
BaseRepresentation
bin1000111101100000100…
…0111000001000000000
3112201101001012101222012
42033120020320020000
510010242203423211
6154420152032052
714060011633151
oct2173010701000
9481331171865
10153950061056
115a320883520
1225a05692628
1311695a374ac
147646225928
15401078cd8b
hex23d8238200

153950061056 has 80 divisors (see below), whose sum is σ = 335691639360. Its totient is φ = 69950484480.

The previous prime is 153950061047. The next prime is 153950061077. The reversal of 153950061056 is 650160059351.

It is a happy number.

It is a super-2 number, since 2×1539500610562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27701030 + ... + 27706586.

It is an arithmetic number, because the mean of its divisors is an integer number (4196145492).

Almost surely, 2153950061056 is an apocalyptic number.

153950061056 is a gapful number since it is divisible by the number (16) 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 153950061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167845819680).

153950061056 is an abundant number, since it is smaller than the sum of its proper divisors (181741578304).

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

153950061056 is an equidigital number, since it uses as much as digits as its factorization.

153950061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 41.

The spelling of 153950061056 in words is "one hundred fifty-three billion, nine hundred fifty million, sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 4919 5557 5632 9838 11114 19676 22228 39352 44456 54109 61127 78704 88912 108218 122254 157408 177824 216436 244508 314816 355648 432872 489016 629632 711296 865744 978032 1259264 1422592 1731488 1956064 2518528 2845184 3462976 3912128 6925952 7824256 13851904 15648512 27334883 27703808 31297024 54669766 109339532 218679064 300683713 437358128 601367426 874716256 1202734852 1749432512 2405469704 3498865024 4810939408 6997730048 9621878816 13995460096 19243757632 38487515264 76975030528 153950061056