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47200397040 = 24325269243703
BaseRepresentation
bin101011111101010111…
…001110011011110000
311111211110212121100100
4223331113032123300
51233131300201130
633403352152400
73260445516666
oct537527163360
9144743777310
1047200397040
11190214369a5
129193398700
1345b2a51424
1423da9b0c36
151363bd7c60
hexafd5ce6f0

47200397040 has 120 divisors (see below), whose sum is σ = 159104593440. Its totient is φ = 12539930112.

The previous prime is 47200397033. The next prime is 47200397087. The reversal of 47200397040 is 4079300274.

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 junction number, because it is equal to n+sod(n) for n = 47200396986 and 47200397004.

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, 71829 + ... + 315531.

It is an arithmetic number, because the mean of its divisors is an integer number (1325871612).

Almost surely, 247200397040 is an apocalyptic number.

47200397040 is a gapful number since it is divisible by the number (40) 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 47200397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552296720).

47200397040 is an abundant number, since it is smaller than the sum of its proper divisors (111904196400).

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

47200397040 is a wasteful number, since it uses less digits than its factorization.

47200397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243991 (or 243982 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 47200397040 in words is "forty-seven billion, two hundred million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 269 360 538 720 807 1076 1345 1614 2152 2421 2690 3228 4035 4304 4842 5380 6456 8070 9684 10760 12105 12912 16140 19368 21520 24210 32280 38736 48420 64560 96840 193680 243703 487406 731109 974812 1218515 1462218 1949624 2193327 2437030 2924436 3655545 3899248 4386654 4874060 5848872 7311090 8773308 9748120 10966635 11697744 14622180 17546616 19496240 21933270 29244360 35093232 43866540 58488720 65556107 87733080 131112214 175466160 196668321 262224428 327780535 393336642 524448856 590004963 655561070 786673284 983341605 1048897712 1180009926 1311122140 1573346568 1966683210 2360019852 2622244280 2950024815 3146693136 3933366420 4720039704 5244488560 5900049630 7866732840 9440079408 11800099260 15733465680 23600198520 47200397040