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1077707103444 = 2232372113834547
BaseRepresentation
bin11111010111011000101…
…10010101110011010100
310211000202021001021201100
433223230112111303110
5120124121004302234
62143031455230100
7140601405143016
oct17535426256324
93730667037640
101077707103444
11386064622944
12154a49b18330
137a82037481a
143a2388821b6
151d0787b8399
hexfaec595cd4

1077707103444 has 72 divisors (see below), whose sum is σ = 2811091800608. Its totient is φ = 347870013120.

The previous prime is 1077707103433. The next prime is 1077707103479. The reversal of 1077707103444 is 4443017077701.

1077707103444 is a `hidden beast` number, since 1 + 0 + 77 + 70 + 71 + 0 + 3 + 444 = 666.

It is a super-2 number, since 2×10777071034442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077707103444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636222 + ... + 2198325.

Almost surely, 21077707103444 is an apocalyptic number.

It is an amenable number.

1077707103444 is an abundant number, since it is smaller than the sum of its proper divisors (1733384697164).

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

1077707103444 is a wasteful number, since it uses less digits than its factorization.

1077707103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834805 (or 3834800 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 1077707103444 in words is "one trillion, seventy-seven billion, seven hundred seven million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 211 222 333 422 444 633 666 844 1266 1332 1899 2532 3798 7596 7807 15614 23421 31228 46842 70263 93684 140526 281052 3834547 7669094 11503641 15338188 23007282 34510923 46014564 69021846 138043692 141878239 283756478 425634717 567512956 809089417 851269434 1276904151 1618178834 1702538868 2427268251 2553808302 3236357668 4854536502 5107616604 7281804753 9709073004 14563609506 29127219012 29936308429 59872616858 89808925287 119745233716 179617850574 269426775861 359235701148 538853551722 1077707103444