Search a number
-
+
152666052630 = 235713233240007
BaseRepresentation
bin1000111000101110011…
…0110001100000010110
3112121001120010000112120
42032023212301200112
510000130002141010
6154044523200410
714013131015310
oct2161346614026
9477046100476
10152666052630
1159822008a33
1225707676106
131151ca0b2b0
1475638a87b0
153e87baae70
hex238b9b1816

152666052630 has 128 divisors (see below), whose sum is σ = 452889335808. Its totient is φ = 32072481792.

The previous prime is 152666052599. The next prime is 152666052661. The reversal of 152666052630 is 36250666251.

It is an interprime number because it is at equal distance from previous prime (152666052599) and next prime (152666052661).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516087 + ... + 756093.

It is an arithmetic number, because the mean of its divisors is an integer number (3538197936).

Almost surely, 2152666052630 is an apocalyptic number.

152666052630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152666052630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226444667904).

152666052630 is an abundant number, since it is smaller than the sum of its proper divisors (300223283178).

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

152666052630 is a wasteful number, since it uses less digits than its factorization.

152666052630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240270.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 152666052630 in words is "one hundred fifty-two billion, six hundred sixty-six million, fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 233 273 390 455 466 546 699 910 1165 1365 1398 1631 2330 2730 3029 3262 3495 4893 6058 6990 8155 9087 9786 15145 16310 18174 21203 24465 30290 42406 45435 48930 63609 90870 106015 127218 212030 240007 318045 480014 636090 720021 1200035 1440042 1680049 2400070 3120091 3360098 3600105 5040147 6240182 7200210 8400245 9360273 10080294 15600455 16800490 18720546 21840637 25200735 31200910 43681274 46801365 50401470 55921631 65521911 93602730 109203185 111843262 131043822 167764893 218406370 279608155 327609555 335529786 391451417 559216310 655219110 726981203 782902834 838824465 1174354251 1453962406 1677648930 1957257085 2180943609 2348708502 3634906015 3914514170 4361887218 5088868421 5871771255 7269812030 10177736842 10904718045 11743542510 15266605263 21809436090 25444342105 30533210526 50888684210 76333026315 152666052630