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1903336085248 = 28131367418373
BaseRepresentation
bin11011101100100111101…
…010111101011100000000
320201221211202122012100021
4123230213222331130000
5222141013014211443
64014214105503224
7254340304533433
oct33544752753400
96657752565307
101903336085248
11674222666a34
12268a674a1b14
1310a639c5c990
146819c91d81a
153479bac29ed
hex1bb27abd700

1903336085248 has 72 divisors (see below), whose sum is σ = 4094489111328. Its totient is φ = 877818089472.

The previous prime is 1903336085239. The next prime is 1903336085293. The reversal of 1903336085248 is 8425806333091.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1903336085195 and 1903336085204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4340190 + ... + 4758562.

It is an arithmetic number, because the mean of its divisors is an integer number (56867904324).

Almost surely, 21903336085248 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 1903336085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047244555664).

1903336085248 is an abundant number, since it is smaller than the sum of its proper divisors (2191153026080).

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

1903336085248 is a wasteful number, since it uses less digits than its factorization.

1903336085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419769 (or 419755 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 1903336085248 in words is "one trillion, nine hundred three billion, three hundred thirty-six million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1367 1664 2734 3328 5468 10936 17771 21872 35542 43744 71084 87488 142168 174976 284336 349952 418373 568672 836746 1137344 1673492 2274688 3346984 4549376 5438849 6693968 10877698 13387936 21755396 26775872 43510792 53551744 87021584 107103488 174043168 348086336 571915891 696172672 1143831782 1392345344 2287663564 4575327128 7434906583 9150654256 14869813166 18301308512 29739626332 36602617024 59479252664 73205234048 118958505328 146410468096 237917010656 475834021312 951668042624 1903336085248