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4981442688 = 27325973291
BaseRepresentation
bin1001010001110101…
…01100100010000000
3110212011110111201100
410220322230202000
540200222131223
62142145334400
7234305364345
oct45072544200
913764414640
104981442688
112126992692
12b70337400
13615062031
143538307cc
151e24dd043
hex128eac880

4981442688 has 96 divisors (see below), whose sum is σ = 14577778800. Its totient is φ = 1632314880.

The previous prime is 4981442677. The next prime is 4981442699. The reversal of 4981442688 is 8862441894.

It is a happy number.

4981442688 is a `hidden beast` number, since 49 + 81 + 442 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (4981442677) and next prime (4981442699).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31323 + ... + 104613.

Almost surely, 24981442688 is an apocalyptic number.

4981442688 is a gapful number since it is divisible by the number (48) 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 4981442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288889400).

4981442688 is an abundant number, since it is smaller than the sum of its proper divisors (9596336112).

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

4981442688 is a wasteful number, since it uses less digits than its factorization.

4981442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73370 (or 73355 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4981442688 is about 70579.3361260929. The cubic root of 4981442688 is about 1707.8578202522.

The spelling of 4981442688 in words is "four billion, nine hundred eighty-one million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 67968 73291 146582 219873 293164 439746 586328 659619 879492 1172656 1319238 1758984 2345312 2638476 3517968 4324169 4690624 5276952 7035936 8648338 9381248 10553904 12972507 14071872 17296676 21107808 25945014 28143744 34593352 38917521 42215616 51890028 69186704 77835042 84431232 103780056 138373408 155670084 207560112 276746816 311340168 415120224 553493632 622680336 830240448 1245360672 1660480896 2490721344 4981442688