Search a number
-
+
5613760944 = 2433111769491
BaseRepresentation
bin1010011101001101…
…10011000110110000
3112111020021121022000
411032212303012300
542444110322234
62325014214000
7256054115661
oct51646630660
915436247260
105613760944
112420904760
121108054300
136b6064b4c
143b37cb368
1522cc91899
hex14e9b31b0

5613760944 has 160 divisors (see below), whose sum is σ = 18612737280. Its totient is φ = 1601049600.

The previous prime is 5613760937. The next prime is 5613760951. The reversal of 5613760944 is 4490673165.

5613760944 is a `hidden beast` number, since 5 + 6 + 1 + 37 + 609 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5613760937) and next prime (5613760951).

It is a super-2 number, since 2×56137609442 = 63028623872759542272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5613760944.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46039 + ... + 115529.

It is an arithmetic number, because the mean of its divisors is an integer number (116329608).

Almost surely, 25613760944 is an apocalyptic number.

5613760944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5613760944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306368640).

5613760944 is an abundant number, since it is smaller than the sum of its proper divisors (12998976336).

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

5613760944 is a wasteful number, since it uses less digits than its factorization.

5613760944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69536 (or 69524 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5613760944 is about 74925.0354954871. The cubic root of 5613760944 is about 1777.2613847650.

The spelling of 5613760944 in words is "five billion, six hundred thirteen million, seven hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 69491 80784 138982 208473 277964 416946 555928 625419 764401 833892 1111856 1181347 1250838 1528802 1667784 1876257 2293203 2362694 2501676 3057604 3335568 3544041 3752514 4586406 4725388 5003352 6115208 6879609 7088082 7505028 9172812 9450776 10006704 10632123 12230416 12994817 13759218 14176164 15010056 18345624 18901552 20638827 21264246 25989634 27518436 28352328 30020112 31896369 36691248 38984451 41277654 42528492 51979268 55036872 56704656 63792738 77968902 82555308 85056984 103958536 110073744 116953353 127585476 155937804 165110616 170113968 207917072 233906706 255170952 311875608 330221232 350860059 467813412 510341904 623751216 701720118 935626824 1403440236 1871253648 2806880472 5613760944