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1061005703364 = 223410132422861
BaseRepresentation
bin11110111000010001101…
…11100011100011000100
310202102122022102020220000
433130020313203203010
5114340414430001424
62131230322241300
7136440465450345
oct17341067434304
93672568366800
101061005703364
11379a74071862
121517687b6230
137908b1abb79
14394d26d00cc
151c8ec4253c9
hexf708de38c4

1061005703364 has 60 divisors (see below), whose sum is σ = 2801140739628. Its totient is φ = 350166888000.

The previous prime is 1061005703353. The next prime is 1061005703369. The reversal of 1061005703364 is 4633075001601.

1061005703364 is a `hidden beast` number, since 1 + 0 + 610 + 0 + 5 + 7 + 0 + 3 + 36 + 4 = 666.

1061005703364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1049170004100 + 11835699264 = 1024290^2 + 108792^2 .

It is a super-2 number, since 2×10610057033642 (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 not an unprimeable number, because it can be changed into a prime (1061005703369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16178707 + ... + 16244154.

Almost surely, 21061005703364 is an apocalyptic number.

It is an amenable number.

1061005703364 is an abundant number, since it is smaller than the sum of its proper divisors (1740135036264).

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

1061005703364 is a wasteful number, since it uses less digits than its factorization.

1061005703364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32422978 (or 32422967 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1061005703364 in words is "one trillion, sixty-one billion, five million, seven hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2727 3636 5454 8181 10908 16362 32724 32422861 64845722 97268583 129691444 194537166 291805749 389074332 583611498 875417247 1167222996 1750834494 2626251741 3274708961 3501668988 5252503482 6549417922 9824126883 10505006964 13098835844 19648253766 29472380649 39296507532 58944761298 88417141947 117889522596 176834283894 265251425841 353668567788 530502851682 1061005703364