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1138384485128 = 231148793728349
BaseRepresentation
bin10000100100001101000…
…000001011101100001000
311000211100222020122110002
4100210031000023230020
5122122402412011003
62230544442142132
7145150141316312
oct20441500135410
94024328218402
101138384485128
113a9871400880
121647627b1948
1383470251c77
143d1532a27b2
151e92a721a88
hex1090d00bb08

1138384485128 has 64 divisors (see below), whose sum is σ = 2335867632000. Its totient is φ = 515815672320.

The previous prime is 1138384485113. The next prime is 1138384485143. The reversal of 1138384485128 is 8215844838311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1138384485113) and next prime (1138384485143).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40141898 + ... + 40170246.

It is an arithmetic number, because the mean of its divisors is an integer number (36497931750).

Almost surely, 21138384485128 is an apocalyptic number.

It is an amenable number.

1138384485128 is an abundant number, since it is smaller than the sum of its proper divisors (1197483146872).

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

1138384485128 is a wasteful number, since it uses less digits than its factorization.

1138384485128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29790 (or 29786 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 56.

The spelling of 1138384485128 in words is "one trillion, one hundred thirty-eight billion, three hundred eighty-four million, four hundred eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 487 937 974 1874 1948 3748 3896 5357 7496 10307 10714 20614 21428 28349 41228 42856 56698 82456 113396 226792 311839 456319 623678 912638 1247356 1825276 2494712 3650552 5019509 10039018 13805963 20078036 26563013 27611926 40156072 53126026 55223852 106252052 110447704 151865593 212504104 292193143 303731186 584386286 607462372 1168772572 1214924744 2337545144 12936187331 25872374662 51744749324 103489498648 142298060641 284596121282 569192242564 1138384485128