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152303452020 = 223251996196869
BaseRepresentation
bin1000110111010111111…
…1100011111101110100
3112120010021211000000100
42031311333203331310
54443404140431040
6153544531314100
714001135660546
oct2156577437564
9476107730010
10152303452020
1159656367805
122562614b930
1311492862915
14752b67b696
153e65e33b30
hex2375fe3f74

152303452020 has 144 divisors (see below), whose sum is σ = 465126480000. Its totient is φ = 40339005696.

The previous prime is 152303451977. The next prime is 152303452027. The reversal of 152303452020 is 20254303251.

It is a happy number.

152303452020 is a `hidden beast` number, since 152 + 303 + 4 + 5 + 202 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152303452027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22169146 + ... + 22176014.

It is an arithmetic number, because the mean of its divisors is an integer number (3230045000).

Almost surely, 2152303452020 is an apocalyptic number.

152303452020 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 152303452020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232563240000).

152303452020 is an abundant number, since it is smaller than the sum of its proper divisors (312823027980).

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

152303452020 is a wasteful number, since it uses less digits than its factorization.

152303452020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 152303452020 its reverse (20254303251), we get a palindrome (172557755271).

The spelling of 152303452020 in words is "one hundred fifty-two billion, three hundred three million, four hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 619 796 995 1194 1238 1791 1857 1990 2388 2476 2985 3095 3582 3714 3980 5571 5970 6190 6869 7164 7428 8955 9285 11142 11940 12380 13738 17910 18570 20607 22284 27476 27855 34345 35820 37140 41214 55710 61821 68690 82428 103035 111420 123181 123642 137380 206070 246362 247284 309105 369543 412140 492724 615905 618210 739086 1108629 1231810 1236420 1366931 1478172 1847715 2217258 2463620 2733862 3695430 4100793 4251911 4434516 5467724 5543145 6834655 7390860 8201586 8503822 11086290 12302379 12755733 13669310 16403172 17007644 20503965 21259555 22172580 24604758 25511466 27338620 38267199 41007930 42519110 49209516 51022932 61511895 63778665 76534398 82015860 85038220 123023790 127557330 153068796 191335995 246047580 255114660 382671990 765343980 846130289 1692260578 2538390867 3384521156 4230651445 5076781734 7615172601 8461302890 10153563468 12691954335 15230345202 16922605780 25383908670 30460690404 38075863005 50767817340 76151726010 152303452020