Search a number
-
+
97280101632 = 283737489061
BaseRepresentation
bin101101010011001011…
…0001000110100000000
3100022002121200012010010
41122212112020310000
53043212201223012
6112405002104520
710012456135440
oct1324626106400
9308077605103
1097280101632
113829009920a
1216a2aaab140
139234179c1c
1449cbb2c120
1527e5573c3c
hex16a6588d00

97280101632 has 144 divisors (see below), whose sum is σ = 303891389312. Its totient is φ = 27043061760.

The previous prime is 97280101619. The next prime is 97280101637. The reversal of 97280101632 is 23610108279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97280101637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45619 + ... + 443442.

Almost surely, 297280101632 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 97280101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151945694656).

97280101632 is an abundant number, since it is smaller than the sum of its proper divisors (206611287680).

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

97280101632 is a wasteful number, since it uses less digits than its factorization.

97280101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489124 (or 489110 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 97280101632 in words is "ninety-seven billion, two hundred eighty million, one hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 24864 28416 33152 49728 66304 99456 198912 489061 978122 1467183 1956244 2934366 3423427 3912488 5868732 6846854 7824976 10270281 11737464 13693708 15649952 18095257 20540562 23474928 27387416 31299904 36190514 41081124 46949856 54285771 54774832 62599808 72381028 82162248 93899712 108571542 109549664 125199616 126666799 144762056 164324496 187799424 217143084 219099328 253333598 289524112 328648992 375598848 380000397 434286168 438198656 506667196 579048224 657297984 760000794 868572336 876397312 1013334392 1158096448 1314595968 1520001588 1737144672 2026668784 2316192896 2629191936 3040003176 3474289344 4053337568 4632385792 6080006352 6948578688 8106675136 12160012704 13897157376 16213350272 24320025408 32426700544 48640050816 97280101632