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219382080048 = 24332917511341
BaseRepresentation
bin1100110001010000110…
…0001110001000110000
3202222021010002100221000
43030110030032020300
512043243303030143
6244441023202000
721564330625005
oct3142414161060
9688233070830
10219382080048
118504851287a
1236626746300
13178c29957b1
14a8922b78ac
155a8ed32bd3
hex331430e230

219382080048 has 80 divisors (see below), whose sum is σ = 651421922400. Its totient is φ = 70605722880.

The previous prime is 219382080023. The next prime is 219382080079. The reversal of 219382080048 is 840080283912.

It is a junction number, because it is equal to n+sod(n) for n = 219382079985 and 219382080012.

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, 8743143 + ... + 8768198.

It is an arithmetic number, because the mean of its divisors is an integer number (8142774030).

Almost surely, 2219382080048 is an apocalyptic number.

It is an amenable number.

219382080048 is an abundant number, since it is smaller than the sum of its proper divisors (432039842352).

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

219382080048 is a wasteful number, since it uses less digits than its factorization.

219382080048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17511387 (or 17511375 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 219382080048 in words is "two hundred nineteen billion, three hundred eighty-two million, eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 17511341 35022682 52534023 70045364 105068046 140090728 157602069 210136092 280181456 315204138 420272184 472806207 507828889 630408276 840544368 945612414 1015657778 1260816552 1523486667 1891224828 2031315556 2521633104 3046973334 3782449656 4062631112 4570460001 6093946668 7564899312 8125262224 9140920002 12187893336 13711380003 18281840004 24375786672 27422760006 36563680008 54845520012 73127360016 109691040024 219382080048