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102473280448 = 26711127163733
BaseRepresentation
bin101111101101111100…
…0100010101111000000
3100210111112120000012021
41133123320202233000
53134331124433243
6115024154011224
710255245340450
oct1373370425700
9323445500167
10102473280448
113a50554a330
1217a3a116b14
1398810450b6
144d61717d60
1529eb4386ed
hex17dbe22bc0

102473280448 has 112 divisors (see below), whose sum is σ = 255519350784. Its totient is φ = 39610045440.

The previous prime is 102473280419. The next prime is 102473280457. The reversal of 102473280448 is 844082374201.

It is a tau number, because it is divible by the number of its divisors (112).

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, 543990 + ... + 707722.

Almost surely, 2102473280448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102473280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127759675392).

102473280448 is an abundant number, since it is smaller than the sum of its proper divisors (153046070336).

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

102473280448 is a wasteful number, since it uses less digits than its factorization.

102473280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163890 (or 163880 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 102473280448 in words is "one hundred two billion, four hundred seventy-three million, two hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 127 154 176 224 254 308 352 448 508 616 704 889 1016 1232 1397 1778 2032 2464 2794 3556 4064 4928 5588 7112 8128 9779 11176 14224 19558 22352 28448 39116 44704 56896 78232 89408 156464 163733 312928 327466 625856 654932 1146131 1309864 1801063 2292262 2619728 3602126 4584524 5239456 7204252 9169048 10478912 12607441 14408504 18338096 20794091 25214882 28817008 36676192 41588182 50429764 57634016 73352384 83176364 100859528 115268032 145558637 166352728 201719056 228735001 291117274 332705456 403438112 457470002 582234548 665410912 806876224 914940004 1164469096 1330821824 1601145007 1829880008 2328938192 3202290014 3659760016 4657876384 6404580028 7319520032 9315752768 12809160056 14639040064 25618320112 51236640224 102473280448