Search a number
-
+
153548363482020 = 22345137290995417
BaseRepresentation
bin100010111010011011000011…
…101010010100001110100100
3202010200002011110101020010000
4202322123003222110032210
5130111214022022411040
61302323051104101300
744225334405536343
oct4272330352241644
9663602143336100
10153548363482020
1144a1a54a208291
121527a850304830
13678a719205b60
1429cbacd787b5a
1512b422a637130
hex8ba6c3a943a4

153548363482020 has 120 divisors (see below), whose sum is σ = 518739741999864. Its totient is φ = 37796520236544.

The previous prime is 153548363482013. The next prime is 153548363482049. The reversal of 153548363482020 is 20284363845351.

153548363482020 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 4 + 83 + 63 + 482 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2188097725284 + 151360265756736 = 1479222^2 + 12302856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3645476649 + ... + 3645518768.

Almost surely, 2153548363482020 is an apocalyptic number.

153548363482020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153548363482020 is an abundant number, since it is smaller than the sum of its proper divisors (365191378517844).

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

153548363482020 is a wasteful number, since it uses less digits than its factorization.

153548363482020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290995451 (or 7290995440 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 153548363482020 in words is "one hundred fifty-three trillion, five hundred forty-eight billion, three hundred sixty-three million, four hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 7290995417 14581990834 21872986251 29163981668 36454977085 43745972502 65618958753 72909954170 87491945004 94782940421 109364931255 131237917506 145819908340 189565880842 196856876259 218729862510 262475835012 284348821263 328094793765 379131761684 393713752518 437459725020 473914702105 568697642526 590570628777 656189587530 787427505036 853046463789 947829404210 984284381295 1137395285052 1181141257554 1312379175060 1421744106315 1706092927578 1895658808420 1968568762590 2362282515108 2559139391367 2843488212630 2952853143885 3412185855156 3937137525180 4265232318945 5118278782734 5686976425260 5905706287770 7677418174101 8530464637890 10236557565468 11811412575540 12795696956835 15354836348202 17060929275780 25591393913670 30709672696404 38387090870505 51182787827340 76774181741010 153548363482020