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1000054105536 = 26331394742569
BaseRepresentation
bin11101000110101111101…
…11101010010111000000
310112121022111020021022210
432203113313222113000
5112341102322334121
62043230222102120
7132152162433063
oct16432767522700
93477274207283
101000054105536
11356136520212
1214199811a940
13733c6560855
143658d6cc8da
151b0313a2876
hexe8d7dea5c0

1000054105536 has 112 divisors (see below), whose sum is σ = 2732086748160. Its totient is φ = 322508789760.

The previous prime is 1000054105481. The next prime is 1000054105549. The reversal of 1000054105536 is 6355014500001.

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, 23471260 + ... + 23513828.

It is an arithmetic number, because the mean of its divisors is an integer number (24393631680).

Almost surely, 21000054105536 is an apocalyptic number.

1000054105536 is a gapful number since it is divisible by the number (16) 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 1000054105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366043374080).

1000054105536 is an abundant number, since it is smaller than the sum of its proper divisors (1732032642624).

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

1000054105536 is a wasteful number, since it uses less digits than its factorization.

1000054105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46562 (or 46552 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 1000054105536 its reverse (6355014500001), we get a palindrome (7355068605537).

The spelling of 1000054105536 in words is "one trillion, fifty-four million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3947 5952 7894 11841 15788 23682 31576 42569 47364 63152 85138 94728 122357 126304 127707 170276 189456 244714 252608 255414 340552 367071 378912 489428 510828 681104 734142 757824 978856 1021656 1319639 1362208 1468284 1957712 2043312 2639278 2724416 2936568 3915424 3958917 4086624 5278556 5873136 7830848 7917834 8173248 10557112 11746272 15835668 21114224 23492544 31671336 42228448 63342672 84456896 126685344 168019843 253370688 336039686 504059529 672079372 1008119058 1344158744 2016238116 2688317488 4032476232 5208615133 5376634976 8064952464 10417230266 10753269952 15625845399 16129904928 20834460532 31251690798 32259809856 41668921064 62503381596 83337842128 125006763192 166675684256 250013526384 333351368512 500027052768 1000054105536