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18754455210064 = 2477914669144497
BaseRepresentation
bin1000100001110100111001…
…01001000000100001010000
32110101220112020012100022121
410100322130221000201100
54424233111013210224
6103515402222344024
73643651612005460
oct420723451004120
973356466170277
1018754455210064
115a807a1047192
12212a8a512b014
13a606cac7ccb2
1448ba12dadba0
15227ca69e7be4
hex110e9ca40850

18754455210064 has 80 divisors (see below), whose sum is σ = 42056547494400. Its totient is φ = 7935285676032.

The previous prime is 18754455210017. The next prime is 18754455210079. The reversal of 18754455210064 is 46001255445781.

It is a junction number, because it is equal to n+sod(n) for n = 18754455209993 and 18754455210020.

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, 129719064 + ... + 129863560.

It is an arithmetic number, because the mean of its divisors is an integer number (525706843680).

Almost surely, 218754455210064 is an apocalyptic number.

18754455210064 is a gapful number since it is divisible by the number (14) 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 18754455210064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028273747200).

18754455210064 is an abundant number, since it is smaller than the sum of its proper divisors (23302092284336).

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

18754455210064 is a wasteful number, since it uses less digits than its factorization.

18754455210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159260 (or 159254 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 52.

The spelling of 18754455210064 in words is "eighteen trillion, seven hundred fifty-four billion, four hundred fifty-five million, two hundred ten thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 4424 8848 14669 29338 58676 102683 117352 144497 205366 234704 288994 410732 577988 821464 1011479 1155976 1158851 1642928 2022958 2311952 2317702 4045916 4635404 8091832 8111957 9270808 11415263 16183664 16223914 18541616 22830526 32447828 45661052 64895656 79906841 91322104 129791312 159813682 182644208 319627364 639254728 1278509456 2119626493 4239252986 8478505972 14837385451 16957011944 29674770902 33914023888 59349541804 118699083608 167450492947 237398167216 334900985894 669801971788 1172153450629 1339603943576 2344306901258 2679207887152 4688613802516 9377227605032 18754455210064