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1010056060098 = 232269275375773
BaseRepresentation
bin11101011001011000000…
…10000101110011000010
310120120010112200012121100
432230230002011303002
5113022043322410343
62052002514435230
7132655062565341
oct16545402056302
93516115605540
101010056060098
1135a3a934a768
12143909892b16
137432b783867
1436c5bbddb58
151b4194e99d3
hexeb2c085cc2

1010056060098 has 48 divisors (see below), whose sum is σ = 2197417205880. Its totient is φ = 335307466752.

The previous prime is 1010056060051. The next prime is 1010056060129. The reversal of 1010056060098 is 8900606500101.

1010056060098 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 560 + 6 + 0 + 0 + 98 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 539779681809 + 470276378289 = 734697^2 + 685767^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13292140 + ... + 13367912.

Almost surely, 21010056060098 is an apocalyptic number.

1010056060098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1010056060098 is an abundant number, since it is smaller than the sum of its proper divisors (1187361145782).

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

1010056060098 is a wasteful number, since it uses less digits than its factorization.

1010056060098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78803 (or 78800 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1010056060098 in words is "one trillion, ten billion, fifty-six million, sixty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 269 538 807 1614 2421 2753 4842 5506 8259 16518 24777 49554 75773 151546 227319 454638 681957 740557 1363914 1481114 2221671 4443342 6665013 13330026 20382937 40765874 61148811 122297622 183446433 208603069 366892866 417206138 625809207 1251618414 1877427621 3754855242 56114225561 112228451122 168342676683 336685353366 505028030049 1010056060098