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47220604400 = 2452538592593
BaseRepresentation
bin101011111110100100…
…010011110111110000
311111212212220020122002
4223332210103313300
51233201433320100
633405353233132
73261112341404
oct537644236760
9144785806562
1047220604400
1119031888aa2
12919a1027a8
1345b6ca8048
1423dd551104
15136587a2d5
hexafe913df0

47220604400 has 120 divisors (see below), whose sum is σ = 115767210960. Its totient is φ = 18503147520.

The previous prime is 47220604391. The next prime is 47220604433. The reversal of 47220604400 is 440602274.

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, 18209504 + ... + 18212096.

It is an arithmetic number, because the mean of its divisors is an integer number (964726758).

Almost surely, 247220604400 is an apocalyptic number.

47220604400 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 47220604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57883605480).

47220604400 is an abundant number, since it is smaller than the sum of its proper divisors (68546606560).

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

47220604400 is a wasteful number, since it uses less digits than its factorization.

47220604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The spelling of 47220604400 in words is "forty-seven billion, two hundred twenty million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 859 1060 1325 1718 2120 2593 2650 3436 4240 4295 5186 5300 6872 8590 10372 10600 12965 13744 17180 20744 21200 21475 25930 34360 41488 42950 45527 51860 64825 68720 85900 91054 103720 129650 137429 171800 182108 207440 227635 259300 274858 343600 364216 455270 518600 549716 687145 728432 910540 1037200 1099432 1138175 1374290 1821080 2198864 2227387 2276350 2748580 3435725 3642160 4454774 4552700 5497160 6871450 8909548 9105400 10994320 11136935 13742900 17819096 18210800 22273870 27485800 35638192 44547740 54971600 55684675 89095480 111369350 118051511 178190960 222738700 236103022 445477400 472206044 590257555 890954800 944412088 1180515110 1888824176 2361030220 2951287775 4722060440 5902575550 9444120880 11805151100 23610302200 47220604400