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38652150870 = 23251928913367
BaseRepresentation
bin100011111111110110…
…010000010001010110
310200202201211201002100
4203333312100101112
51113124422311440
625431225422530
72535556601334
oct437766202126
9120681751070
1038652150870
111543514a043
1275a863aa46
13384ca631b8
141c29592b54
1510134e4230
hex8ffd90456

38652150870 has 144 divisors (see below), whose sum is σ = 107262960480. Its totient is φ = 9654315264.

The previous prime is 38652150869. The next prime is 38652150871. The reversal of 38652150870 is 7805125683.

38652150870 is a `hidden beast` number, since 3 + 8 + 6 + 521 + 50 + 8 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (38652150869) and next prime (38652150871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38652150871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2884927 + ... + 2898293.

It is an arithmetic number, because the mean of its divisors is an integer number (744881670).

Almost surely, 238652150870 is an apocalyptic number.

38652150870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38652150870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53631480240).

38652150870 is an abundant number, since it is smaller than the sum of its proper divisors (68610809610).

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

38652150870 is a wasteful number, since it uses less digits than its factorization.

38652150870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13507 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 38652150870 in words is "thirty-eight billion, six hundred fifty-two million, one hundred fifty thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 89 90 95 114 171 178 190 267 285 342 361 445 534 570 722 801 855 890 1083 1335 1602 1691 1710 1805 2166 2670 3249 3382 3610 4005 5073 5415 6498 8010 8455 10146 10830 13367 15219 16245 16910 25365 26734 30438 32129 32490 40101 50730 64258 66835 76095 80202 96387 120303 133670 152190 160645 192774 200505 240606 253973 289161 321290 401010 481935 507946 578322 601515 761919 963870 1189663 1203030 1269865 1445805 1523838 2285757 2379326 2539730 2891610 3568989 3809595 4571514 4825487 5948315 7137978 7619190 9650974 10706967 11428785 11896630 14476461 17844945 21413934 22603597 22857570 24127435 28952922 35689890 43429383 45207194 48254870 53534835 67810791 72382305 86858766 107069670 113017985 135621582 144764610 203432373 217146915 226035970 339053955 406864746 429468343 434293830 678107910 858936686 1017161865 1288405029 2034323730 2147341715 2576810058 3865215087 4294683430 6442025145 7730430174 12884050290 19326075435 38652150870