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9773138432 = 291722572
BaseRepresentation
bin10010001101000011…
…00100001000000000
3221020002212212120002
421012201210020000
5130003410412212
64253440135132
7464121206651
oct110641441000
927202785502
109773138432
114165755612
121a890074a8
13bc99b9865
14689d8b528
153c2ee9ac2
hex246864200

9773138432 has 90 divisors (see below), whose sum is σ = 20824442727. Its totient is φ = 4581228544.

The previous prime is 9773138413. The next prime is 9773138437. The reversal of 9773138432 is 2348313779.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9491435776 + 281702656 = 97424^2 + 16784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=69904.

It is a super-2 number, since 2×97731384322 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9773138437) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38027648 + ... + 38027904.

Almost surely, 29773138432 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 9773138432

9773138432 is an abundant number, since it is smaller than the sum of its proper divisors (11051304295).

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

9773138432 is an frugal number, since it uses more digits than its factorization.

9773138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 276 counting only the distinct ones).

The product of its digits is 762048, while the sum is 47.

The square root of 9773138432 is about 98859.1848641288. The cubic root of 9773138432 is about 2138.0179651104.

The spelling of 9773138432 in words is "nine billion, seven hundred seventy-three million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 257 272 289 512 514 544 578 1028 1088 1156 2056 2176 2312 4112 4352 4369 4624 8224 8704 8738 9248 16448 17476 18496 32896 34952 36992 65792 66049 69904 73984 74273 131584 132098 139808 147968 148546 264196 279616 297092 528392 559232 594184 1056784 1118464 1122833 1188368 2113568 2236928 2245666 2376736 4227136 4491332 4753472 8454272 8982664 9506944 16908544 17965328 19013888 19088161 33817088 35930656 38027776 38176322 71861312 76352644 143722624 152705288 287445248 305410576 574890496 610821152 1221642304 2443284608 4886569216 9773138432