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47013110144 = 2771113366923
BaseRepresentation
bin101011110010001100…
…110010000110000000
311111100102110110000122
4223302030302012000
51232240324011034
633333022035412
73253012562030
oct536214620600
9144312413018
1047013110144
1118a35747540
129140718b68
134582cc8890
1423bdb7b8c0
15135254062e
hexaf2332180

47013110144 has 128 divisors (see below), whose sum is σ = 125752193280. Its totient is φ = 16907765760.

The previous prime is 47013110107. The next prime is 47013110159. The reversal of 47013110144 is 44101131074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55334 + ... + 311589.

It is an arithmetic number, because the mean of its divisors is an integer number (982439010).

Almost surely, 247013110144 is an apocalyptic number.

47013110144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47013110144 is an abundant number, since it is smaller than the sum of its proper divisors (78739083136).

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

47013110144 is a wasteful number, since it uses less digits than its factorization.

47013110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366968 (or 366956 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 47013110144 in words is "forty-seven billion, thirteen million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 11648 16016 18304 32032 64064 128128 366923 733846 1467692 2568461 2935384 4036153 4769999 5136922 5870768 8072306 9539998 10273844 11741536 16144612 19079996 20547688 23483072 28253071 32289224 33389993 38159992 41095376 46966144 52469989 56506142 64578448 66779986 76319984 82190752 104939978 113012284 129156896 133559972 152639968 164381504 209879956 226024568 258313792 267119944 305279936 328763008 367289923 419759912 452049136 516627584 534239888 610559872 734579846 839519824 904098272 1068479776 1469159692 1679039648 1808196544 2136959552 2938319384 3358079296 3616393088 4273919104 5876638768 6716158592 11753277536 23506555072 47013110144