Search a number
-
+
97465045216 = 2571142319349
BaseRepresentation
bin101101011000101011…
…1101001000011100000
3100022120111200022000111
41122301113221003200
53044102022421331
6112435210101104
710020163133530
oct1326127510340
9308514608014
1097465045216
1138375528050
1216a80a1a794
139263591cb6
144a085114c0
152806906db1
hex16b15e90e0

97465045216 has 96 divisors (see below), whose sum is σ = 239314521600. Its totient is φ = 37960358400.

The previous prime is 97465045193. The next prime is 97465045229. The reversal of 97465045216 is 61254056479.

It is a self number, because there is not a number n which added to its sum of digits gives 97465045216.

It is a congruent number.

It is an unprimeable number.

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, 10420510 + ... + 10429858.

It is an arithmetic number, because the mean of its divisors is an integer number (2492859600).

Almost surely, 297465045216 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 97465045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119657260800).

97465045216 is an abundant number, since it is smaller than the sum of its proper divisors (141849476384).

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

97465045216 is a wasteful number, since it uses less digits than its factorization.

97465045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 97465045216 in words is "ninety-seven billion, four hundred sixty-five million, forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4231 8462 9349 16924 18698 29617 33848 37396 46541 59234 65443 67696 74792 93082 102839 118468 130886 135392 149584 186164 205678 236936 261772 299168 325787 372328 411356 473872 523544 651574 719873 744656 822712 947744 1047088 1303148 1439746 1489312 1645424 2094176 2606296 2879492 3290848 5212592 5758984 10425184 11517968 23035936 39555619 79111238 158222476 276889333 316444952 435111809 553778666 632889904 870223618 1107557332 1265779808 1740447236 2215114664 3045782663 3480894472 4430229328 6091565326 6961788944 8860458656 12183130652 13923577888 24366261304 48732522608 97465045216