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356150145060 = 2232597101201961
BaseRepresentation
bin1010010111011000011…
…00111111000000100100
31021001021201022221100100
411023230030333000210
521313343414120220
6431340233344100
734505506166223
oct5135414770044
91231251287310
10356150145060
11128051521366
1259035b68030
132777aab7308
14133485a6cba
1593e6e48d90
hex52ec33f024

356150145060 has 144 divisors (see below), whose sum is σ = 1102271434992. Its totient is φ = 93063168000.

The previous prime is 356150145053. The next prime is 356150145121. The reversal of 356150145060 is 60541051653.

356150145060 is a `hidden beast` number, since 3 + 56 + 1 + 501 + 45 + 0 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 979439616 + 355170705444 = 31296^2 + 595962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662480 + ... + 1864440.

It is an arithmetic number, because the mean of its divisors is an integer number (7654662743).

Almost surely, 2356150145060 is an apocalyptic number.

356150145060 is a gapful number since it is divisible by the number (30) 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 356150145060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551135717496).

356150145060 is an abundant number, since it is smaller than the sum of its proper divisors (746121289932).

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

356150145060 is a wasteful number, since it uses less digits than its factorization.

356150145060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202174 (or 202169 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 356150145060 in words is "three hundred fifty-six billion, one hundred fifty million, one hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 101 180 194 202 291 303 388 404 485 505 582 606 873 909 970 1010 1164 1212 1455 1515 1746 1818 1940 2020 2910 3030 3492 3636 4365 4545 5820 6060 8730 9090 9797 17460 18180 19594 29391 39188 48985 58782 88173 97970 117564 146955 176346 195940 201961 293910 352692 403922 440865 587820 605883 807844 881730 1009805 1211766 1763460 1817649 2019610 2423532 3029415 3635298 4039220 6058830 7270596 9088245 12117660 18176490 19590217 20398061 36352980 39180434 40796122 58770651 61194183 78360868 81592244 97951085 101990305 117541302 122388366 176311953 183582549 195902170 203980610 235082604 244776732 293853255 305970915 352623906 367165098 391804340 407961220 587706510 611941830 705247812 734330196 881559765 917912745 1175413020 1223883660 1763119530 1835825490 1978611917 3526239060 3671650980 3957223834 5935835751 7914447668 9893059585 11871671502 17807507253 19786119170 23743343004 29679178755 35615014506 39572238340 59358357510 71230029012 89037536265 118716715020 178075072530 356150145060