Search a number
-
+
39421361520 = 24325232380517
BaseRepresentation
bin100100101101101100…
…100011110101110000
310202202100020122201200
4210231230203311300
51121213332032040
630035424331200
72563620021102
oct445554436560
9122670218650
1039421361520
111579a370422
127782173b00
133943225a28
141c9d7c5572
15105acd8630
hex92db23d70

39421361520 has 120 divisors (see below), whose sum is σ = 138146220576. Its totient is φ = 10055299584.

The previous prime is 39421361509. The next prime is 39421361563. The reversal of 39421361520 is 2516312493.

39421361520 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 13 + 615 + 20 = 666.

39421361520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173699 + ... + 1206818.

Almost surely, 239421361520 is an apocalyptic number.

39421361520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39421361520 is an abundant number, since it is smaller than the sum of its proper divisors (98724859056).

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

39421361520 is a wasteful number, since it uses less digits than its factorization.

39421361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380559 (or 2380550 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 39421361520 in words is "thirty-nine billion, four hundred twenty-one million, three hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 2380517 4761034 7141551 9522068 11902585 14283102 19044136 21424653 23805170 28566204 35707755 38088272 42849306 47610340 54751891 57132408 71415510 85698612 95220680 107123265 109503782 114264816 142831020 164255673 171397224 190441360 214246530 219007564 273759455 285662040 328511346 342794448 428493060 438015128 492767019 547518910 571324080 657022692 821278365 856986120 876030256 985534038 1095037820 1314045384 1642556730 1713972240 1971068076 2190075640 2463835095 2628090768 3285113460 3942136152 4380151280 4927670190 6570226920 7884272304 9855340380 13140453840 19710680760 39421361520