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39667144020 = 22357641147341
BaseRepresentation
bin100100111100010110…
…001001010101010100
310210101110201200221020
4210330112021111110
51122214242102040
630120044321140
72602663106130
oct447426112524
9123343650836
1039667144020
1115906083459
1278305431b0
13398211c86a
141cc42c43c0
151072687cd0
hex93c589554

39667144020 has 96 divisors (see below), whose sum is σ = 127133750016. Its totient is φ = 9052569600.

The previous prime is 39667144019. The next prime is 39667144031. The reversal of 39667144020 is 2044176693.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195550 + ... + 342890.

It is an arithmetic number, because the mean of its divisors is an integer number (1324309896).

Almost surely, 239667144020 is an apocalyptic number.

39667144020 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 39667144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63566875008).

39667144020 is an abundant number, since it is smaller than the sum of its proper divisors (87466605996).

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

39667144020 is a wasteful number, since it uses less digits than its factorization.

39667144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148001 (or 147999 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 39667144020 in words is "thirty-nine billion, six hundred sixty-seven million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 641 1282 1923 2564 3205 3846 4487 6410 7692 8974 9615 12820 13461 17948 19230 22435 26922 38460 44870 53844 67305 89740 134610 147341 269220 294682 442023 589364 736705 884046 1031387 1473410 1768092 2062774 2210115 2946820 3094161 4125548 4420230 5156935 6188322 8840460 10313870 12376644 15470805 20627740 30941610 61883220 94445581 188891162 283336743 377782324 472227905 566673486 661119067 944455810 1133346972 1322238134 1416683715 1888911620 1983357201 2644476268 2833367430 3305595335 3966714402 5666734860 6611190670 7933428804 9916786005 13222381340 19833572010 39667144020