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1148728838796 = 223671141124783
BaseRepresentation
bin10000101101110101100…
…100110000101010001100
311001211001212222021000000
4100231311210300222030
5122310044040320141
62235415125404300
7145664400010650
oct20556544605214
94054055867000
101148728838796
1140319a5338a0
1216676ab69690
138442b3995b6
143d855062a60
151ed339505b6
hex10b75930a8c

1148728838796 has 336 divisors, whose sum is σ = 3849440652288. Its totient is φ = 291091449600.

The previous prime is 1148728838779. The next prime is 1148728838797. The reversal of 1148728838796 is 6978388278411.

1148728838796 is a `hidden beast` number, since 1 + 1 + 4 + 87 + 2 + 88 + 387 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (1148728838797) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9143421 + ... + 9268203.

It is an arithmetic number, because the mean of its divisors is an integer number (11456668608).

Almost surely, 21148728838796 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 1148728838796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924720326144).

1148728838796 is an abundant number, since it is smaller than the sum of its proper divisors (2700711813492).

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

1148728838796 is a wasteful number, since it uses less digits than its factorization.

1148728838796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124864 (or 124847 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 1148728838796 in words is "one trillion, one hundred forty-eight billion, seven hundred twenty-eight million, eight hundred thirty-eight thousand, seven hundred ninety-six".