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20476467840 = 273511394379
BaseRepresentation
bin10011000100011111…
…100001101010000000
31221212001002100020210
4103010133201222000
5313413433432330
613223505434120
71323266050653
oct230437415200
957761070223
1020476467840
1187584833a4
123b7563b940
131c1431097a
14dc36b389a
157ec9d68b0
hex4c47e1a80

20476467840 has 128 divisors (see below), whose sum is σ = 65847038400. Its totient is φ = 5412012032.

The previous prime is 20476467833. The next prime is 20476467857. The reversal of 20476467840 is 4876467402.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20476467840.

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, 169771 + ... + 264149.

Almost surely, 220476467840 is an apocalyptic number.

20476467840 is a gapful number since it is divisible by the number (20) 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 20476467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32923519200).

20476467840 is an abundant number, since it is smaller than the sum of its proper divisors (45370570560).

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

20476467840 is a wasteful number, since it uses less digits than its factorization.

20476467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94514 (or 94502 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 20476467840 in words is "twenty billion, four hundred seventy-six million, four hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 72320 94379 108480 188758 216960 283137 377516 471895 566274 755032 943790 1132548 1415685 1510064 1887580 2265096 2831370 3020128 3775160 4530192 5662740 6040256 7550320 9060384 10664827 11325480 12080512 15100640 18120768 21329654 22650960 30201280 31994481 36241536 42659308 45301920 53324135 60402560 63988962 85318616 90603840 106648270 127977924 159972405 170637232 181207680 213296540 255955848 319944810 341274464 426593080 511911696 639889620 682548928 853186160 1023823392 1279779240 1365097856 1706372320 2047646784 2559558480 3412744640 4095293568 5119116960 6825489280 10238233920 20476467840