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1000136071548 = 223447531239197
BaseRepresentation
bin11101000110111001100…
…00010101100101111100
310112121112012110120120000
432203130300111211330
5112341234313242143
62043242310554300
7132154206225045
oct16433460254574
93477465416500
101000136071548
11356178814519
121419bb668990
137340a52ba53
143659a5478cc
151b038693bd3
hexe8dcc1597c

1000136071548 has 120 divisors (see below), whose sum is σ = 2720565029952. Its totient is φ = 320128937856.

The previous prime is 1000136071531. The next prime is 1000136071559. The reversal of 1000136071548 is 8451706310001.

1000136071548 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 3 + 607 + 1 + 5 + 48 = 666.

It is a super-2 number, since 2×10001360715482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187486 + ... + 1426682.

Almost surely, 21000136071548 is an apocalyptic number.

1000136071548 is a gapful number since it is divisible by the number (18) 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 1000136071548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360282514976).

1000136071548 is an abundant number, since it is smaller than the sum of its proper divisors (1720428958404).

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

1000136071548 is a wasteful number, since it uses less digits than its factorization.

1000136071548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239313 (or 1239302 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1000136071548 in words is "one trillion, one hundred thirty-six million, seventy-one thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 53 54 81 94 106 108 141 159 162 188 212 282 318 324 423 477 564 636 846 954 1269 1431 1692 1908 2491 2538 2862 3807 4293 4982 5076 5724 7473 7614 8586 9964 14946 15228 17172 22419 29892 44838 67257 89676 134514 201771 269028 403542 807084 1239197 2478394 3717591 4956788 7435182 11152773 14870364 22305546 33458319 44611092 58242259 65677441 66916638 100374957 116484518 131354882 133833276 174726777 197032323 200749914 232969036 262709764 349453554 394064646 401499828 524180331 591096969 698907108 788129292 1048360662 1182193938 1572540993 1773290907 2096721324 2364387876 3086839727 3145081986 3546581814 4717622979 5319872721 6173679454 6290163972 7093163628 9260519181 9435245958 10639745442 12347358908 18521038362 18870491916 21279490884 27781557543 37042076724 55563115086 83344672629 111126230172 166689345258 250034017887 333378690516 500068035774 1000136071548