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1043344193796 = 223431148769857
BaseRepresentation
bin11110010111011000010…
…10001111100100000100
310200202001110011121110000
433023230022033210010
5114043232103200141
62115150011001300
7135244020214662
oct17135412174404
93622043147400
101043344193796
11372530663263
1214a259a39230
1377505134aa8
14386d8c15c32
151c216b305b6
hexf2ec28f904

1043344193796 has 120 divisors (see below), whose sum is σ = 2817425673216. Its totient is φ = 336331491840.

The previous prime is 1043344193789. The next prime is 1043344193803. The reversal of 1043344193796 is 6973914433401.

1043344193796 is a `hidden beast` number, since 1 + 0 + 43 + 3 + 441 + 93 + 79 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1043344193789) and next prime (1043344193803).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 14900500 + ... + 14970356.

Almost surely, 21043344193796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043344193796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408712836608).

1043344193796 is an abundant number, since it is smaller than the sum of its proper divisors (1774081479420).

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

1043344193796 is a wasteful number, since it uses less digits than its factorization.

1043344193796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71391 (or 71380 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1043344193796 in words is "one trillion, forty-three billion, three hundred forty-four million, one hundred ninety-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1487 1674 2511 2974 3348 4461 5022 5948 8922 10044 13383 17844 26766 40149 46097 53532 69857 80298 92194 120447 138291 139714 160596 184388 209571 240894 276582 279428 414873 419142 481788 553164 628713 829746 838284 1244619 1257426 1659492 1886139 2165567 2489238 2514852 3733857 3772278 4331134 4978476 5658417 6496701 7467714 7544556 8662268 11316834 12993402 14935428 19490103 22633668 25986804 38980206 58470309 77960412 103877359 116940618 175410927 207754718 233881236 311632077 350821854 415509436 623264154 701643708 934896231 1246528308 1869792462 2804688693 3220198129 3739584924 5609377386 6440396258 8414066079 9660594387 11218754772 12880792516 16828132158 19321188774 28981783161 33656264316 38642377548 57963566322 86945349483 115927132644 173890698966 260836048449 347781397932 521672096898 1043344193796