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5377014456 = 23311217108917
BaseRepresentation
bin1010000000111111…
…01011101010111000
3111212201210122011120
411000133223222320
542003003430311
62245320025240
7250150603662
oct50037535270
914781718146
105377014456
11230a203600
121060902220
13678cb2b78
143901a1532
152170c9706
hex1407ebab8

5377014456 has 96 divisors (see below), whose sum is σ = 15644981520. Its totient is φ = 1533537280.

The previous prime is 5377014437. The next prime is 5377014457. The reversal of 5377014456 is 6544107735.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377014457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5091 + ... + 103826.

Almost surely, 25377014456 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 5377014456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822490760).

5377014456 is an abundant number, since it is smaller than the sum of its proper divisors (10267967064).

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

5377014456 is a wasteful number, since it uses less digits than its factorization.

5377014456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108965 (or 108950 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5377014456 is about 73328.1286819731. The cubic root of 5377014456 is about 1751.9178382479.

The spelling of 5377014456 in words is "five billion, three hundred seventy-seven million, fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 12342 16456 24684 49368 108917 217834 326751 435668 653502 871336 1198087 1307004 1851589 2396174 2614008 3594261 3703178 4792348 5554767 7188522 7406356 9584696 11109534 13178957 14377044 14812712 20367479 22219068 26357914 28754088 39536871 40734958 44438136 52715828 61102437 79073742 81469916 105431656 122204874 158147484 162939832 224042269 244409748 316294968 448084538 488819496 672126807 896169076 1344253614 1792338152 2688507228 5377014456