Search a number
-
+
97376450704 = 241321723532
BaseRepresentation
bin101101010110000010…
…1101011100010010000
3100022100022222020012021
41122230011223202100
53043411332410304
6112422323141224
710015036113511
oct1325405534220
9308308866167
1097376450704
113832a516745
1216a57214814
13924b112a00
1449da84ca08
1527edc56a54
hex16ac16b890

97376450704 has 135 divisors (see below), whose sum is σ = 217636935393. Its totient is φ = 42179444736.

The previous prime is 97376450701. The next prime is 97376450711. The reversal of 97376450704 is 40705467379.

The square root of 97376450704 is 312052.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 66698227600 + 30678223104 = 258260^2 + 175152^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97376450701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275853792 + ... + 275854144.

Almost surely, 297376450704 is an apocalyptic number.

97376450704 is the 312052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97376450704

97376450704 is an abundant number, since it is smaller than the sum of its proper divisors (120260484689).

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

97376450704 is a wasteful number, since it uses less digits than its factorization.

97376450704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 97376450704 in words is "ninety-seven billion, three hundred seventy-six million, four hundred fifty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 289 338 353 442 578 676 706 884 1156 1352 1412 1768 2312 2704 2824 2873 3536 3757 4589 4624 5648 5746 6001 7514 9178 11492 12002 15028 18356 22984 24004 30056 36712 45968 48008 48841 59657 60112 73424 78013 96016 97682 102017 119314 124609 156026 195364 204034 238628 249218 312052 390728 408068 477256 498436 624104 781456 816136 954512 996872 1014169 1248208 1326221 1619917 1632272 1993744 2028338 2118353 2652442 3239834 4056676 4236706 5304884 6479668 8113352 8473412 10609768 12959336 16226704 16946824 17240873 21058921 21219536 25918672 27538589 33893648 34481746 36012001 42117842 55077178 68963492 72024002 84235684 110154356 137926984 144048004 168471368 220308712 275853968 288096008 336942736 358001657 440617424 468156013 576192016 716003314 936312026 1432006628 1872624052 2864013256 3745248104 5728026512 6086028169 7490496208 12172056338 24344112676 48688225352 97376450704