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1674027120964 = 2211223225572
BaseRepresentation
bin11000010111000011110…
…010101011100101000100
312221000221211100212021011
4120113003302223211010
5204411401420332324
63321012030532004
7231641644515112
oct30270362534504
95830854325234
101674027120964
11595a50739100
12230530367004
13c1b247997b3
145b0480b6ab2
152d82a525c94
hex185c3cab944

1674027120964 has 81 divisors (see below), whose sum is σ = 3367488698301. Its totient is φ = 727553233440.

The previous prime is 1674027120943. The next prime is 1674027120971. The reversal of 1674027120964 is 4690217204761.

It is a happy number.

The square root of 1674027120964 is 1293842.

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

It can be written as a sum of positive squares in only one way, i.e., 718341002500 + 955686118464 = 847550^2 + 977592^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 654682774 + ... + 654685330.

Almost surely, 21674027120964 is an apocalyptic number.

1674027120964 is the 1293842-nd square number.

It is an amenable number.

1674027120964 is an abundant number, since it is smaller than the sum of its proper divisors (1693461577337).

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

1674027120964 is an equidigital number, since it uses as much as digits as its factorization.

1674027120964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 1674027120964 by its sum of digits (49), we get a square (82027328927236 = 90568942).

The spelling of 1674027120964 in words is "one trillion, six hundred seventy-four billion, twenty-seven million, one hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 2116 2557 2783 5114 5566 5819 10228 11132 11638 23276 28127 56254 58811 64009 112508 117622 128018 235244 256036 309397 618794 646921 1237588 1293842 1352653 2587684 2705306 5410612 6538249 7116131 13076498 14232262 14879183 26152996 28464524 29758366 59516732 71920739 143841478 150379727 163671013 287682956 300759454 327342026 601518908 654684052 791128129 1582256258 1654176997 3164512516 3308353994 3458733721 6616707988 6917467442 13834934884 18195946967 36391893934 38046070931 72783787868 76092141862 152184283724 418506780241 837013560482 1674027120964