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1012486738176 = 2832209632
BaseRepresentation
bin11101011101111001110…
…10011001000100000000
310120210101221102110002100
432232330322121010000
5113042033101110201
62053044024350400
7133102236163344
oct16567472310400
93523357373070
101012486738176
11360436406121
12144287915400
1374628221004
143700c967624
151b50cad0886
hexebbce99100

1012486738176 has 81 divisors (see below), whose sum is σ = 2919388136119. Its totient is φ = 337479479808.

The previous prime is 1012486738163. The next prime is 1012486738177. The reversal of 1012486738176 is 6718376842101.

The square root of 1012486738176 is 1006224.

It is a perfect power (a square), and thus also a powerful number.

1012486738176 is a `hidden beast` number, since 1 + 0 + 12 + 486 + 7 + 3 + 81 + 76 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012486738177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48288271 + ... + 48309233.

Almost surely, 21012486738176 is an apocalyptic number.

1012486738176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1012486738176 is the 1006224-th square number.

It is an amenable number.

1012486738176 is an abundant number, since it is smaller than the sum of its proper divisors (1906901397943).

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

1012486738176 is an frugal number, since it uses more digits than its factorization.

1012486738176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41948 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1012486738176 in words is "one trillion, twelve billion, four hundred eighty-six million, seven hundred thirty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 20963 41926 62889 83852 125778 167704 188667 251556 335408 377334 503112 670816 754668 1006224 1341632 1509336 2012448 2683264 3018672 4024896 5366528 6037344 8049792 12074688 16099584 24149376 48298752 439447369 878894738 1318342107 1757789476 2636684214 3515578952 3955026321 5273368428 7031157904 7910052642 10546736856 14062315808 15820105284 21093473712 28124631616 31640210568 42186947424 56249263232 63280421136 84373894848 112498526464 126560842272 168747789696 253121684544 337495579392 506243369088 1012486738176