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97239786688 = 26111314992113
BaseRepresentation
bin101101010001111110…
…0010110010011000000
3100021222210210222102001
41122203330112103000
53043121341133223
6112401002033344
710011456356242
oct1324374262300
9307883728361
1097239786688
113826a362a80
1216a194a8854
139228a02c25
1449c6636092
1527e1c5d9ad
hex16a3f164c0

97239786688 has 112 divisors (see below), whose sum is σ = 212634576000. Its totient is φ = 43753881600.

The previous prime is 97239786673. The next prime is 97239786689. The reversal of 97239786688 is 88668793279.

It is a super-2 number, since 2×972397866882 (a number of 23 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 97239786688.

It is not an unprimeable number, because it can be changed into a prime (97239786689) 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 15 ways as a sum of consecutive naturals, for example, 46018720 + ... + 46020832.

It is an arithmetic number, because the mean of its divisors is an integer number (1898523000).

Almost surely, 297239786688 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 97239786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106317288000).

97239786688 is an abundant number, since it is smaller than the sum of its proper divisors (115394789312).

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

97239786688 is a wasteful number, since it uses less digits than its factorization.

97239786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 73.

It can be divided in two parts, 9723978 and 6688, that added together give a triangular number (9730666 = T4411).

The spelling of 97239786688 in words is "ninety-seven billion, two hundred thirty-nine million, seven hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 499 524 704 998 1048 1441 1996 2096 2113 2882 3992 4192 4226 5489 5764 7984 8384 8452 10978 11528 15968 16904 21956 23056 23243 31936 33808 43912 46112 46486 65369 67616 87824 92224 92972 130738 135232 175648 185944 261476 276803 351296 371888 522952 553606 719059 743776 1045904 1054387 1107212 1438118 1487552 2091808 2108774 2214424 2876236 3044833 4183616 4217548 4428848 5752472 6089666 8435096 8857696 11504944 11598257 12179332 16870192 17715392 23009888 23196514 24358664 33740384 46019776 46393028 48717328 67480768 92786056 97434656 138124697 185572112 194869312 276249394 371144224 552498788 742288448 1104997576 1519371667 2209995152 3038743334 4419990304 6077486668 8839980608 12154973336 24309946672 48619893344 97239786688