Search a number
-
+
97135039488 = 210365947981
BaseRepresentation
bin101101001110110110…
…0110001010000000000
3100021201111201021021010
41122131230301100000
53042413032230423
6112342341000520
710006045132644
oct1323554612000
9307644637233
1097135039488
1138216219943
12169aa3b3140
1392100b9736
1449b676ac24
1527d796c693
hex169db31400

97135039488 has 88 divisors (see below), whose sum is σ = 259298566560. Its totient is φ = 32328540160.

The previous prime is 97135039487. The next prime is 97135039499. The reversal of 97135039488 is 88493053179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97135039487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000458 + ... + 2048438.

It is an arithmetic number, because the mean of its divisors is an integer number (2946574620).

Almost surely, 297135039488 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 97135039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129649283280).

97135039488 is an abundant number, since it is smaller than the sum of its proper divisors (162163527072).

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

97135039488 is a wasteful number, since it uses less digits than its factorization.

97135039488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48663 (or 48645 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 97135039488 in words is "ninety-seven billion, one hundred thirty-five million, thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1024 1318 1536 1977 2636 3072 3954 5272 7908 10544 15816 21088 31632 42176 47981 63264 84352 95962 126528 143943 168704 191924 253056 287886 337408 383848 506112 575772 674816 767696 1012224 1151544 1535392 2024448 2303088 3070784 4606176 6141568 9212352 12283136 18424704 24566272 31619479 36849408 49132544 63238958 73698816 94858437 126477916 147397632 189716874 252955832 379433748 505911664 758867496 1011823328 1517734992 2023646656 3035469984 4047293312 6070939968 8094586624 12141879936 16189173248 24283759872 32378346496 48567519744 97135039488